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Finding the Fourth Proportional to 2,432.82, 3,646.71 and 1,133.22

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Solution

The fourth proportional to 2,432.82, 3,646.71 and 1,133.22 is: 1,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.82 : 3,646.71 = 1,133.22 : x
  2. Step 2: Convert to fraction form
    2,432.82/3,646.71 = 1,133.22/x
  3. Step 3: Cross multiply
    2,432.82x = 3,646.71 × 1,133.22
  4. Step 4: Simplify right side
    2,432.82x = 4,132,524.71
  5. Step 5: Solve for x
    x = 4,132,524.71/2,432.82
  6. Step 6: Final answer
    x = 1,698.66

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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.