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Finding the Fourth Proportional to 2,292.35, 3,438.52 and 831.02

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Solution

The fourth proportional to 2,292.35, 3,438.52 and 831.02 is: 1,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.35 : 3,438.52 = 831.02 : x
  2. Step 2: Convert to fraction form
    2,292.35/3,438.52 = 831.02/x
  3. Step 3: Cross multiply
    2,292.35x = 3,438.52 × 831.02
  4. Step 4: Simplify right side
    2,292.35x = 2,857,457.54
  5. Step 5: Solve for x
    x = 2,857,457.54/2,292.35
  6. Step 6: Final answer
    x = 1,246.52

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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.