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Finding the Fourth Proportional to 1,570.96, 2,168.49 and 981.28

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Solution

The fourth proportional to 1,570.96, 2,168.49 and 981.28 is: 1,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.96 : 2,168.49 = 981.28 : x
  2. Step 2: Convert to fraction form
    1,570.96/2,168.49 = 981.28/x
  3. Step 3: Cross multiply
    1,570.96x = 2,168.49 × 981.28
  4. Step 4: Simplify right side
    1,570.96x = 2,127,895.87
  5. Step 5: Solve for x
    x = 2,127,895.87/1,570.96
  6. Step 6: Final answer
    x = 1,354.52

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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.