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Finding the Fourth Proportional to 3,165.72, 4,748.58 and 857.28

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Solution

The fourth proportional to 3,165.72, 4,748.58 and 857.28 is: 1,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.72 : 4,748.58 = 857.28 : x
  2. Step 2: Convert to fraction form
    3,165.72/4,748.58 = 857.28/x
  3. Step 3: Cross multiply
    3,165.72x = 4,748.58 × 857.28
  4. Step 4: Simplify right side
    3,165.72x = 4,070,862.66
  5. Step 5: Solve for x
    x = 4,070,862.66/3,165.72
  6. Step 6: Final answer
    x = 1,285.92

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Similar ratio
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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.