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Finding the Fourth Proportional to 2,407.32, 3,610.96 and 675.94

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Solution

The fourth proportional to 2,407.32, 3,610.96 and 675.94 is: 1,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.32 : 3,610.96 = 675.94 : x
  2. Step 2: Convert to fraction form
    2,407.32/3,610.96 = 675.94/x
  3. Step 3: Cross multiply
    2,407.32x = 3,610.96 × 675.94
  4. Step 4: Simplify right side
    2,407.32x = 2,440,788.92
  5. Step 5: Solve for x
    x = 2,440,788.92/2,407.32
  6. Step 6: Final answer
    x = 1,013.91

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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.