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Finding the Fourth Proportional to 2,998.80, 4,498.65 and 1,537.47

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Solution

The fourth proportional to 2,998.80, 4,498.65 and 1,537.47 is: 2,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.80 : 4,498.65 = 1,537.47 : x
  2. Step 2: Convert to fraction form
    2,998.80/4,498.65 = 1,537.47/x
  3. Step 3: Cross multiply
    2,998.80x = 4,498.65 × 1,537.47
  4. Step 4: Simplify right side
    2,998.80x = 6,916,539.42
  5. Step 5: Solve for x
    x = 6,916,539.42/2,998.80
  6. Step 6: Final answer
    x = 2,306.44

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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.