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Finding the Fourth Proportional to 2,165.36, 3,248.52 and 626.24

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Solution

The fourth proportional to 2,165.36, 3,248.52 and 626.24 is: 939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.36 : 3,248.52 = 626.24 : x
  2. Step 2: Convert to fraction form
    2,165.36/3,248.52 = 626.24/x
  3. Step 3: Cross multiply
    2,165.36x = 3,248.52 × 626.24
  4. Step 4: Simplify right side
    2,165.36x = 2,034,353.16
  5. Step 5: Solve for x
    x = 2,034,353.16/2,165.36
  6. Step 6: Final answer
    x = 939.50

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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.