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Finding the Fourth Proportional to 3,332.18, 4,998.40 and 1,142.41

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Solution

The fourth proportional to 3,332.18, 4,998.40 and 1,142.41 is: 1,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.18 : 4,998.40 = 1,142.41 : x
  2. Step 2: Convert to fraction form
    3,332.18/4,998.40 = 1,142.41/x
  3. Step 3: Cross multiply
    3,332.18x = 4,998.40 × 1,142.41
  4. Step 4: Simplify right side
    3,332.18x = 5,710,206.79
  5. Step 5: Solve for x
    x = 5,710,206.79/3,332.18
  6. Step 6: Final answer
    x = 1,713.66

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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.