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Finding the Fourth Proportional to 3,402.74, 5,101.70 and 1,551.30

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Solution

The fourth proportional to 3,402.74, 5,101.70 and 1,551.30 is: 2,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.74 : 5,101.70 = 1,551.30 : x
  2. Step 2: Convert to fraction form
    3,402.74/5,101.70 = 1,551.30/x
  3. Step 3: Cross multiply
    3,402.74x = 5,101.70 × 1,551.30
  4. Step 4: Simplify right side
    3,402.74x = 7,914,267.21
  5. Step 5: Solve for x
    x = 7,914,267.21/3,402.74
  6. Step 6: Final answer
    x = 2,325.85

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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.