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Finding the Fourth Proportional to 2,364.98, 3,543.82 and 1,497.47

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Solution

The fourth proportional to 2,364.98, 3,543.82 and 1,497.47 is: 2,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.98 : 3,543.82 = 1,497.47 : x
  2. Step 2: Convert to fraction form
    2,364.98/3,543.82 = 1,497.47/x
  3. Step 3: Cross multiply
    2,364.98x = 3,543.82 × 1,497.47
  4. Step 4: Simplify right side
    2,364.98x = 5,306,761.58
  5. Step 5: Solve for x
    x = 5,306,761.58/2,364.98
  6. Step 6: Final answer
    x = 2,243.89

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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.