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Finding the Fourth Proportional to 3,015, 4,162.92 and 2,428.20

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Solution

The fourth proportional to 3,015, 4,162.92 and 2,428.20 is: 3,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015 : 4,162.92 = 2,428.20 : x
  2. Step 2: Convert to fraction form
    3,015/4,162.92 = 2,428.20/x
  3. Step 3: Cross multiply
    3,015x = 4,162.92 × 2,428.20
  4. Step 4: Simplify right side
    3,015x = 10,108,402.34
  5. Step 5: Solve for x
    x = 10,108,402.34/3,015
  6. Step 6: Final answer
    x = 3,352.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.