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Finding the Fourth Proportional to 2,432.88, 3,350.64 and 2,307.74

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Solution

The fourth proportional to 2,432.88, 3,350.64 and 2,307.74 is: 3,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.88 : 3,350.64 = 2,307.74 : x
  2. Step 2: Convert to fraction form
    2,432.88/3,350.64 = 2,307.74/x
  3. Step 3: Cross multiply
    2,432.88x = 3,350.64 × 2,307.74
  4. Step 4: Simplify right side
    2,432.88x = 7,732,405.95
  5. Step 5: Solve for x
    x = 7,732,405.95/2,432.88
  6. Step 6: Final answer
    x = 3,178.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.