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Finding the Fourth Proportional to 2,077.12, 3,115.44 and 538.24

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Solution

The fourth proportional to 2,077.12, 3,115.44 and 538.24 is: 807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.12 : 3,115.44 = 538.24 : x
  2. Step 2: Convert to fraction form
    2,077.12/3,115.44 = 538.24/x
  3. Step 3: Cross multiply
    2,077.12x = 3,115.44 × 538.24
  4. Step 4: Simplify right side
    2,077.12x = 1,676,854.43
  5. Step 5: Solve for x
    x = 1,676,854.43/2,077.12
  6. Step 6: Final answer
    x = 807.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.