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Finding the Fourth Proportional to 1,560.81, 2,342.37 and 1,066.17

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Solution

The fourth proportional to 1,560.81, 2,342.37 and 1,066.17 is: 1,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.81 : 2,342.37 = 1,066.17 : x
  2. Step 2: Convert to fraction form
    1,560.81/2,342.37 = 1,066.17/x
  3. Step 3: Cross multiply
    1,560.81x = 2,342.37 × 1,066.17
  4. Step 4: Simplify right side
    1,560.81x = 2,497,364.62
  5. Step 5: Solve for x
    x = 2,497,364.62/1,560.81
  6. Step 6: Final answer
    x = 1,600.04

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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.