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Finding the Fourth Proportional to 1,344.75, 1,856.87 and 1,066.41

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Solution

The fourth proportional to 1,344.75, 1,856.87 and 1,066.41 is: 1,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.75 : 1,856.87 = 1,066.41 : x
  2. Step 2: Convert to fraction form
    1,344.75/1,856.87 = 1,066.41/x
  3. Step 3: Cross multiply
    1,344.75x = 1,856.87 × 1,066.41
  4. Step 4: Simplify right side
    1,344.75x = 1,980,179.40
  5. Step 5: Solve for x
    x = 1,980,179.40/1,344.75
  6. Step 6: Final answer
    x = 1,472.53

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