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Finding the Fourth Proportional to 2,715.48, 3,743.88 and 2,154.98

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Solution

The fourth proportional to 2,715.48, 3,743.88 and 2,154.98 is: 2,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.48 : 3,743.88 = 2,154.98 : x
  2. Step 2: Convert to fraction form
    2,715.48/3,743.88 = 2,154.98/x
  3. Step 3: Cross multiply
    2,715.48x = 3,743.88 × 2,154.98
  4. Step 4: Simplify right side
    2,715.48x = 8,067,986.52
  5. Step 5: Solve for x
    x = 8,067,986.52/2,715.48
  6. Step 6: Final answer
    x = 2,971.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.