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Finding the Fourth Proportional to 1,445.15, 2,167.71 and 349.52

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Solution

The fourth proportional to 1,445.15, 2,167.71 and 349.52 is: 524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.15 : 2,167.71 = 349.52 : x
  2. Step 2: Convert to fraction form
    1,445.15/2,167.71 = 349.52/x
  3. Step 3: Cross multiply
    1,445.15x = 2,167.71 × 349.52
  4. Step 4: Simplify right side
    1,445.15x = 757,647.16
  5. Step 5: Solve for x
    x = 757,647.16/1,445.15
  6. Step 6: Final answer
    x = 524.27

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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.