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Finding the Fourth Proportional to 2,077.14, 3,115.72 and 616.30

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Solution

The fourth proportional to 2,077.14, 3,115.72 and 616.30 is: 924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.14 : 3,115.72 = 616.30 : x
  2. Step 2: Convert to fraction form
    2,077.14/3,115.72 = 616.30/x
  3. Step 3: Cross multiply
    2,077.14x = 3,115.72 × 616.30
  4. Step 4: Simplify right side
    2,077.14x = 1,920,215.15
  5. Step 5: Solve for x
    x = 1,920,215.15/2,077.14
  6. Step 6: Final answer
    x = 924.45

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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.