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Finding the Fourth Proportional to 2,333.40, 3,498.96 and 831.90

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Solution

The fourth proportional to 2,333.40, 3,498.96 and 831.90 is: 1,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.40 : 3,498.96 = 831.90 : x
  2. Step 2: Convert to fraction form
    2,333.40/3,498.96 = 831.90/x
  3. Step 3: Cross multiply
    2,333.40x = 3,498.96 × 831.90
  4. Step 4: Simplify right side
    2,333.40x = 2,910,784.82
  5. Step 5: Solve for x
    x = 2,910,784.82/2,333.40
  6. Step 6: Final answer
    x = 1,247.44

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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.