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Finding the Fourth Proportional to 3,494.66, 5,242.17 and 1,122.94

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Solution

The fourth proportional to 3,494.66, 5,242.17 and 1,122.94 is: 1,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.66 : 5,242.17 = 1,122.94 : x
  2. Step 2: Convert to fraction form
    3,494.66/5,242.17 = 1,122.94/x
  3. Step 3: Cross multiply
    3,494.66x = 5,242.17 × 1,122.94
  4. Step 4: Simplify right side
    3,494.66x = 5,886,616.17
  5. Step 5: Solve for x
    x = 5,886,616.17/3,494.66
  6. Step 6: Final answer
    x = 1,684.46

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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.