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Finding the Fourth Proportional to 1,741.78, 2,614.02 and 647.20

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Solution

The fourth proportional to 1,741.78, 2,614.02 and 647.20 is: 971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.78 : 2,614.02 = 647.20 : x
  2. Step 2: Convert to fraction form
    1,741.78/2,614.02 = 647.20/x
  3. Step 3: Cross multiply
    1,741.78x = 2,614.02 × 647.20
  4. Step 4: Simplify right side
    1,741.78x = 1,691,793.74
  5. Step 5: Solve for x
    x = 1,691,793.74/1,741.78
  6. Step 6: Final answer
    x = 971.30

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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.