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Finding the Fourth Proportional to 3,044.28, 4,567.10 and 964.92

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Solution

The fourth proportional to 3,044.28, 4,567.10 and 964.92 is: 1,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.28 : 4,567.10 = 964.92 : x
  2. Step 2: Convert to fraction form
    3,044.28/4,567.10 = 964.92/x
  3. Step 3: Cross multiply
    3,044.28x = 4,567.10 × 964.92
  4. Step 4: Simplify right side
    3,044.28x = 4,406,881.31
  5. Step 5: Solve for x
    x = 4,406,881.31/3,044.28
  6. Step 6: Final answer
    x = 1,447.59

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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.