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Finding the Fourth Proportional to 3,044.78, 4,567.87 and 964.78

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Solution

The fourth proportional to 3,044.78, 4,567.87 and 964.78 is: 1,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.78 : 4,567.87 = 964.78 : x
  2. Step 2: Convert to fraction form
    3,044.78/4,567.87 = 964.78/x
  3. Step 3: Cross multiply
    3,044.78x = 4,567.87 × 964.78
  4. Step 4: Simplify right side
    3,044.78x = 4,406,989.62
  5. Step 5: Solve for x
    x = 4,406,989.62/3,044.78
  6. Step 6: Final answer
    x = 1,447.39

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1.5x scale

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.