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Finding the Fourth Proportional to 1,763.84, 2,434.12 and 977.88

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Solution

The fourth proportional to 1,763.84, 2,434.12 and 977.88 is: 1,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.84 : 2,434.12 = 977.88 : x
  2. Step 2: Convert to fraction form
    1,763.84/2,434.12 = 977.88/x
  3. Step 3: Cross multiply
    1,763.84x = 2,434.12 × 977.88
  4. Step 4: Simplify right side
    1,763.84x = 2,380,277.27
  5. Step 5: Solve for x
    x = 2,380,277.27/1,763.84
  6. Step 6: Final answer
    x = 1,349.49

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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.