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Finding the Fourth Proportional to 2,432.84, 3,630.02 and 2,376.81

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Solution

The fourth proportional to 2,432.84, 3,630.02 and 2,376.81 is: 3,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.84 : 3,630.02 = 2,376.81 : x
  2. Step 2: Convert to fraction form
    2,432.84/3,630.02 = 2,376.81/x
  3. Step 3: Cross multiply
    2,432.84x = 3,630.02 × 2,376.81
  4. Step 4: Simplify right side
    2,432.84x = 8,627,855.95
  5. Step 5: Solve for x
    x = 8,627,855.95/2,432.84
  6. Step 6: Final answer
    x = 3,546.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.