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Finding the Fourth Proportional to 1,545.79, 2,318.67 and 1,314.13

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Solution

The fourth proportional to 1,545.79, 2,318.67 and 1,314.13 is: 1,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.79 : 2,318.67 = 1,314.13 : x
  2. Step 2: Convert to fraction form
    1,545.79/2,318.67 = 1,314.13/x
  3. Step 3: Cross multiply
    1,545.79x = 2,318.67 × 1,314.13
  4. Step 4: Simplify right side
    1,545.79x = 3,047,033.81
  5. Step 5: Solve for x
    x = 3,047,033.81/1,545.79
  6. Step 6: Final answer
    x = 1,971.18

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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.