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Finding the Fourth Proportional to 2,478.65, 3,717.37 and 723.18

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Solution

The fourth proportional to 2,478.65, 3,717.37 and 723.18 is: 1,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.65 : 3,717.37 = 723.18 : x
  2. Step 2: Convert to fraction form
    2,478.65/3,717.37 = 723.18/x
  3. Step 3: Cross multiply
    2,478.65x = 3,717.37 × 723.18
  4. Step 4: Simplify right side
    2,478.65x = 2,688,327.64
  5. Step 5: Solve for x
    x = 2,688,327.64/2,478.65
  6. Step 6: Final answer
    x = 1,084.59

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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.