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Finding the Fourth Proportional to 1,349.72, 1,861.50 and 1,140.40

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Solution

The fourth proportional to 1,349.72, 1,861.50 and 1,140.40 is: 1,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.72 : 1,861.50 = 1,140.40 : x
  2. Step 2: Convert to fraction form
    1,349.72/1,861.50 = 1,140.40/x
  3. Step 3: Cross multiply
    1,349.72x = 1,861.50 × 1,140.40
  4. Step 4: Simplify right side
    1,349.72x = 2,122,854.60
  5. Step 5: Solve for x
    x = 2,122,854.60/1,349.72
  6. Step 6: Final answer
    x = 1,572.81

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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.