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Finding the Fourth Proportional to 1,647.17, 2,471.03 and 781.01

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Solution

The fourth proportional to 1,647.17, 2,471.03 and 781.01 is: 1,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.17 : 2,471.03 = 781.01 : x
  2. Step 2: Convert to fraction form
    1,647.17/2,471.03 = 781.01/x
  3. Step 3: Cross multiply
    1,647.17x = 2,471.03 × 781.01
  4. Step 4: Simplify right side
    1,647.17x = 1,929,895.24
  5. Step 5: Solve for x
    x = 1,929,895.24/1,647.17
  6. Step 6: Final answer
    x = 1,171.64

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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.