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Finding the Fourth Proportional to 2,171.34, 3,257.28 and 710.64

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Solution

The fourth proportional to 2,171.34, 3,257.28 and 710.64 is: 1,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.34 : 3,257.28 = 710.64 : x
  2. Step 2: Convert to fraction form
    2,171.34/3,257.28 = 710.64/x
  3. Step 3: Cross multiply
    2,171.34x = 3,257.28 × 710.64
  4. Step 4: Simplify right side
    2,171.34x = 2,314,753.46
  5. Step 5: Solve for x
    x = 2,314,753.46/2,171.34
  6. Step 6: Final answer
    x = 1,066.05

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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.