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Finding the Fourth Proportional to 2,915.12, 4,024.50 and 2,020.16

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Solution

The fourth proportional to 2,915.12, 4,024.50 and 2,020.16 is: 2,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.12 : 4,024.50 = 2,020.16 : x
  2. Step 2: Convert to fraction form
    2,915.12/4,024.50 = 2,020.16/x
  3. Step 3: Cross multiply
    2,915.12x = 4,024.50 × 2,020.16
  4. Step 4: Simplify right side
    2,915.12x = 8,130,133.92
  5. Step 5: Solve for x
    x = 8,130,133.92/2,915.12
  6. Step 6: Final answer
    x = 2,788.95

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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.