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Finding the Fourth Proportional to 3,001.98, 4,502.93 and 1,540.29

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Solution

The fourth proportional to 3,001.98, 4,502.93 and 1,540.29 is: 2,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.98 : 4,502.93 = 1,540.29 : x
  2. Step 2: Convert to fraction form
    3,001.98/4,502.93 = 1,540.29/x
  3. Step 3: Cross multiply
    3,001.98x = 4,502.93 × 1,540.29
  4. Step 4: Simplify right side
    3,001.98x = 6,935,810.35
  5. Step 5: Solve for x
    x = 6,935,810.35/3,001.98
  6. Step 6: Final answer
    x = 2,310.41

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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.