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Finding the Fourth Proportional to 2,076.48, 3,114.18 and 615.24

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Solution

The fourth proportional to 2,076.48, 3,114.18 and 615.24 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.48 : 3,114.18 = 615.24 : x
  2. Step 2: Convert to fraction form
    2,076.48/3,114.18 = 615.24/x
  3. Step 3: Cross multiply
    2,076.48x = 3,114.18 × 615.24
  4. Step 4: Simplify right side
    2,076.48x = 1,915,968.10
  5. Step 5: Solve for x
    x = 1,915,968.10/2,076.48
  6. Step 6: Final answer
    x = 922.70

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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.