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Finding the Fourth Proportional to 3,044.52, 4,567.14 and 964.12

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Solution

The fourth proportional to 3,044.52, 4,567.14 and 964.12 is: 1,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.52 : 4,567.14 = 964.12 : x
  2. Step 2: Convert to fraction form
    3,044.52/4,567.14 = 964.12/x
  3. Step 3: Cross multiply
    3,044.52x = 4,567.14 × 964.12
  4. Step 4: Simplify right side
    3,044.52x = 4,403,271.02
  5. Step 5: Solve for x
    x = 4,403,271.02/3,044.52
  6. Step 6: Final answer
    x = 1,446.29

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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.