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Finding the Fourth Proportional to 2,407.86, 3,611.16 and 1,021.14

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Solution

The fourth proportional to 2,407.86, 3,611.16 and 1,021.14 is: 1,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.86 : 3,611.16 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    2,407.86/3,611.16 = 1,021.14/x
  3. Step 3: Cross multiply
    2,407.86x = 3,611.16 × 1,021.14
  4. Step 4: Simplify right side
    2,407.86x = 3,687,499.92
  5. Step 5: Solve for x
    x = 3,687,499.92/2,407.86
  6. Step 6: Final answer
    x = 1,531.44

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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.