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Finding the Fourth Proportional to 2,098.81, 3,146.80 and 1,175.01

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Solution

The fourth proportional to 2,098.81, 3,146.80 and 1,175.01 is: 1,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.81 : 3,146.80 = 1,175.01 : x
  2. Step 2: Convert to fraction form
    2,098.81/3,146.80 = 1,175.01/x
  3. Step 3: Cross multiply
    2,098.81x = 3,146.80 × 1,175.01
  4. Step 4: Simplify right side
    2,098.81x = 3,697,521.47
  5. Step 5: Solve for x
    x = 3,697,521.47/2,098.81
  6. Step 6: Final answer
    x = 1,761.72

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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.