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Finding the Fourth Proportional to 1,569.82, 2,354.72 and 800.86

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Solution

The fourth proportional to 1,569.82, 2,354.72 and 800.86 is: 1,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.82 : 2,354.72 = 800.86 : x
  2. Step 2: Convert to fraction form
    1,569.82/2,354.72 = 800.86/x
  3. Step 3: Cross multiply
    1,569.82x = 2,354.72 × 800.86
  4. Step 4: Simplify right side
    1,569.82x = 1,885,801.06
  5. Step 5: Solve for x
    x = 1,885,801.06/1,569.82
  6. Step 6: Final answer
    x = 1,201.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.