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Finding the Fourth Proportional to 2,428, 3,641.14 and 966.76

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Solution

The fourth proportional to 2,428, 3,641.14 and 966.76 is: 1,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,641.14 = 966.76 : x
  2. Step 2: Convert to fraction form
    2,428/3,641.14 = 966.76/x
  3. Step 3: Cross multiply
    2,428x = 3,641.14 × 966.76
  4. Step 4: Simplify right side
    2,428x = 3,520,108.51
  5. Step 5: Solve for x
    x = 3,520,108.51/2,428
  6. Step 6: Final answer
    x = 1,449.80

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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.