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Finding the Fourth Proportional to 2,402.46, 3,604.29 and 1,015.08

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Solution

The fourth proportional to 2,402.46, 3,604.29 and 1,015.08 is: 1,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.46 : 3,604.29 = 1,015.08 : x
  2. Step 2: Convert to fraction form
    2,402.46/3,604.29 = 1,015.08/x
  3. Step 3: Cross multiply
    2,402.46x = 3,604.29 × 1,015.08
  4. Step 4: Simplify right side
    2,402.46x = 3,658,642.69
  5. Step 5: Solve for x
    x = 3,658,642.69/2,402.46
  6. Step 6: Final answer
    x = 1,522.87

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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.