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Finding the Fourth Proportional to 2,171.91, 3,258 and 710.76

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Solution

The fourth proportional to 2,171.91, 3,258 and 710.76 is: 1,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.91 : 3,258 = 710.76 : x
  2. Step 2: Convert to fraction form
    2,171.91/3,258 = 710.76/x
  3. Step 3: Cross multiply
    2,171.91x = 3,258 × 710.76
  4. Step 4: Simplify right side
    2,171.91x = 2,315,656.08
  5. Step 5: Solve for x
    x = 2,315,656.08/2,171.91
  6. Step 6: Final answer
    x = 1,066.18

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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.