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Finding the Fourth Proportional to 2,407.15, 3,610.56 and 675.78

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Solution

The fourth proportional to 2,407.15, 3,610.56 and 675.78 is: 1,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.15 : 3,610.56 = 675.78 : x
  2. Step 2: Convert to fraction form
    2,407.15/3,610.56 = 675.78/x
  3. Step 3: Cross multiply
    2,407.15x = 3,610.56 × 675.78
  4. Step 4: Simplify right side
    2,407.15x = 2,439,926.18
  5. Step 5: Solve for x
    x = 2,439,926.18/2,407.15
  6. Step 6: Final answer
    x = 1,013.62

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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.