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Finding the Fourth Proportional to 2,114.59, 3,171.97 and 653.77

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Solution

The fourth proportional to 2,114.59, 3,171.97 and 653.77 is: 980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.59 : 3,171.97 = 653.77 : x
  2. Step 2: Convert to fraction form
    2,114.59/3,171.97 = 653.77/x
  3. Step 3: Cross multiply
    2,114.59x = 3,171.97 × 653.77
  4. Step 4: Simplify right side
    2,114.59x = 2,073,731.71
  5. Step 5: Solve for x
    x = 2,073,731.71/2,114.59
  6. Step 6: Final answer
    x = 980.68

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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.