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Finding the Fourth Proportional to 3,070.74, 4,604.40 and 2,098.02

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Solution

The fourth proportional to 3,070.74, 4,604.40 and 2,098.02 is: 3,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.74 : 4,604.40 = 2,098.02 : x
  2. Step 2: Convert to fraction form
    3,070.74/4,604.40 = 2,098.02/x
  3. Step 3: Cross multiply
    3,070.74x = 4,604.40 × 2,098.02
  4. Step 4: Simplify right side
    3,070.74x = 9,660,123.29
  5. Step 5: Solve for x
    x = 9,660,123.29/3,070.74
  6. Step 6: Final answer
    x = 3,145.86

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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.