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Finding the Fourth Proportional to 2,098.76, 3,145.37 and 865.48

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Solution

The fourth proportional to 2,098.76, 3,145.37 and 865.48 is: 1,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.76 : 3,145.37 = 865.48 : x
  2. Step 2: Convert to fraction form
    2,098.76/3,145.37 = 865.48/x
  3. Step 3: Cross multiply
    2,098.76x = 3,145.37 × 865.48
  4. Step 4: Simplify right side
    2,098.76x = 2,722,254.83
  5. Step 5: Solve for x
    x = 2,722,254.83/2,098.76
  6. Step 6: Final answer
    x = 1,297.08

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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.