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Finding the Fourth Proportional to 1,921.64, 2,882.76 and 947.80

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Solution

The fourth proportional to 1,921.64, 2,882.76 and 947.80 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.64 : 2,882.76 = 947.80 : x
  2. Step 2: Convert to fraction form
    1,921.64/2,882.76 = 947.80/x
  3. Step 3: Cross multiply
    1,921.64x = 2,882.76 × 947.80
  4. Step 4: Simplify right side
    1,921.64x = 2,732,279.93
  5. Step 5: Solve for x
    x = 2,732,279.93/1,921.64
  6. Step 6: Final answer
    x = 1,421.85

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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.