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Finding the Fourth Proportional to 2,658.16, 3,987.44 and 710.32

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Solution

The fourth proportional to 2,658.16, 3,987.44 and 710.32 is: 1,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.16 : 3,987.44 = 710.32 : x
  2. Step 2: Convert to fraction form
    2,658.16/3,987.44 = 710.32/x
  3. Step 3: Cross multiply
    2,658.16x = 3,987.44 × 710.32
  4. Step 4: Simplify right side
    2,658.16x = 2,832,358.38
  5. Step 5: Solve for x
    x = 2,832,358.38/2,658.16
  6. Step 6: Final answer
    x = 1,065.53

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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.