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Finding the Fourth Proportional to 3,302.55, 4,951.80 and 1,915.20

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Solution

The fourth proportional to 3,302.55, 4,951.80 and 1,915.20 is: 2,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.55 : 4,951.80 = 1,915.20 : x
  2. Step 2: Convert to fraction form
    3,302.55/4,951.80 = 1,915.20/x
  3. Step 3: Cross multiply
    3,302.55x = 4,951.80 × 1,915.20
  4. Step 4: Simplify right side
    3,302.55x = 9,483,687.36
  5. Step 5: Solve for x
    x = 9,483,687.36/3,302.55
  6. Step 6: Final answer
    x = 2,871.63

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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.