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Finding the Fourth Proportional to 1,233.71, 1,847.61 and 684.53

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Solution

The fourth proportional to 1,233.71, 1,847.61 and 684.53 is: 1,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.71 : 1,847.61 = 684.53 : x
  2. Step 2: Convert to fraction form
    1,233.71/1,847.61 = 684.53/x
  3. Step 3: Cross multiply
    1,233.71x = 1,847.61 × 684.53
  4. Step 4: Simplify right side
    1,233.71x = 1,264,742.16
  5. Step 5: Solve for x
    x = 1,264,742.16/1,233.71
  6. Step 6: Final answer
    x = 1,025.15

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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.