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Finding the Fourth Proportional to 3,614.76, 5,422.01 and 1,017.63

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Solution

The fourth proportional to 3,614.76, 5,422.01 and 1,017.63 is: 1,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.76 : 5,422.01 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    3,614.76/5,422.01 = 1,017.63/x
  3. Step 3: Cross multiply
    3,614.76x = 5,422.01 × 1,017.63
  4. Step 4: Simplify right side
    3,614.76x = 5,517,594.95
  5. Step 5: Solve for x
    x = 5,517,594.95/3,614.76
  6. Step 6: Final answer
    x = 1,526.41

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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.