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Finding the Fourth Proportional to 2,071.72, 3,107.58 and 532.72

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Solution

The fourth proportional to 2,071.72, 3,107.58 and 532.72 is: 799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.72 : 3,107.58 = 532.72 : x
  2. Step 2: Convert to fraction form
    2,071.72/3,107.58 = 532.72/x
  3. Step 3: Cross multiply
    2,071.72x = 3,107.58 × 532.72
  4. Step 4: Simplify right side
    2,071.72x = 1,655,470.02
  5. Step 5: Solve for x
    x = 1,655,470.02/2,071.72
  6. Step 6: Final answer
    x = 799.08

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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.