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Finding the Fourth Proportional to 3,167.42, 4,749.45 and 1,585.89

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Solution

The fourth proportional to 3,167.42, 4,749.45 and 1,585.89 is: 2,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.42 : 4,749.45 = 1,585.89 : x
  2. Step 2: Convert to fraction form
    3,167.42/4,749.45 = 1,585.89/x
  3. Step 3: Cross multiply
    3,167.42x = 4,749.45 × 1,585.89
  4. Step 4: Simplify right side
    3,167.42x = 7,532,105.26
  5. Step 5: Solve for x
    x = 7,532,105.26/3,167.42
  6. Step 6: Final answer
    x = 2,377.99

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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.