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Finding the Fourth Proportional to 3,101.52, 4,648.80 and 1,126.32

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Solution

The fourth proportional to 3,101.52, 4,648.80 and 1,126.32 is: 1,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.52 : 4,648.80 = 1,126.32 : x
  2. Step 2: Convert to fraction form
    3,101.52/4,648.80 = 1,126.32/x
  3. Step 3: Cross multiply
    3,101.52x = 4,648.80 × 1,126.32
  4. Step 4: Simplify right side
    3,101.52x = 5,236,036.42
  5. Step 5: Solve for x
    x = 5,236,036.42/3,101.52
  6. Step 6: Final answer
    x = 1,688.22

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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.