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Finding the Fourth Proportional to 3,165.43, 4,748.22 and 974.17

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Solution

The fourth proportional to 3,165.43, 4,748.22 and 974.17 is: 1,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.43 : 4,748.22 = 974.17 : x
  2. Step 2: Convert to fraction form
    3,165.43/4,748.22 = 974.17/x
  3. Step 3: Cross multiply
    3,165.43x = 4,748.22 × 974.17
  4. Step 4: Simplify right side
    3,165.43x = 4,625,573.48
  5. Step 5: Solve for x
    x = 4,625,573.48/3,165.43
  6. Step 6: Final answer
    x = 1,461.28

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Double scale
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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.