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Finding the Fourth Proportional to 2,406.42, 3,610.17 and 1,000.86

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Solution

The fourth proportional to 2,406.42, 3,610.17 and 1,000.86 is: 1,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.42 : 3,610.17 = 1,000.86 : x
  2. Step 2: Convert to fraction form
    2,406.42/3,610.17 = 1,000.86/x
  3. Step 3: Cross multiply
    2,406.42x = 3,610.17 × 1,000.86
  4. Step 4: Simplify right side
    2,406.42x = 3,613,274.75
  5. Step 5: Solve for x
    x = 3,613,274.75/2,406.42
  6. Step 6: Final answer
    x = 1,501.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.