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Finding the Fourth Proportional to 1,453.57, 2,178.42 and 760.81

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Solution

The fourth proportional to 1,453.57, 2,178.42 and 760.81 is: 1,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.57 : 2,178.42 = 760.81 : x
  2. Step 2: Convert to fraction form
    1,453.57/2,178.42 = 760.81/x
  3. Step 3: Cross multiply
    1,453.57x = 2,178.42 × 760.81
  4. Step 4: Simplify right side
    1,453.57x = 1,657,363.72
  5. Step 5: Solve for x
    x = 1,657,363.72/1,453.57
  6. Step 6: Final answer
    x = 1,140.20

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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.