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Finding the Fourth Proportional to 2,443.52, 3,665.44 and 712

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Solution

The fourth proportional to 2,443.52, 3,665.44 and 712 is: 1,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.52 : 3,665.44 = 712 : x
  2. Step 2: Convert to fraction form
    2,443.52/3,665.44 = 712/x
  3. Step 3: Cross multiply
    2,443.52x = 3,665.44 × 712
  4. Step 4: Simplify right side
    2,443.52x = 2,609,793.28
  5. Step 5: Solve for x
    x = 2,609,793.28/2,443.52
  6. Step 6: Final answer
    x = 1,068.05

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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.