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Finding the Fourth Proportional to 2,124,640.98, 2,931,988.32 and 1,157,768.28

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Solution

The fourth proportional to 2,124,640.98, 2,931,988.32 and 1,157,768.28 is: 1,597,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,640.98 : 2,931,988.32 = 1,157,768.28 : x
  2. Step 2: Convert to fraction form
    2,124,640.98/2,931,988.32 = 1,157,768.28/x
  3. Step 3: Cross multiply
    2,124,640.98x = 2,931,988.32 × 1,157,768.28
  4. Step 4: Simplify right side
    2,124,640.98x = 3,394,563,074,226.49
  5. Step 5: Solve for x
    x = 3,394,563,074,226.49/2,124,640.98
  6. Step 6: Final answer
    x = 1,597,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.