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Finding the Fourth Proportional to 2,076.40, 3,113.64 and 615.04

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Solution

The fourth proportional to 2,076.40, 3,113.64 and 615.04 is: 922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.40 : 3,113.64 = 615.04 : x
  2. Step 2: Convert to fraction form
    2,076.40/3,113.64 = 615.04/x
  3. Step 3: Cross multiply
    2,076.40x = 3,113.64 × 615.04
  4. Step 4: Simplify right side
    2,076.40x = 1,915,013.15
  5. Step 5: Solve for x
    x = 1,915,013.15/2,076.40
  6. Step 6: Final answer
    x = 922.28

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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.