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Finding the Fourth Proportional to 2,654.70, 3,666.15 and 2,187.23

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Solution

The fourth proportional to 2,654.70, 3,666.15 and 2,187.23 is: 3,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.70 : 3,666.15 = 2,187.23 : x
  2. Step 2: Convert to fraction form
    2,654.70/3,666.15 = 2,187.23/x
  3. Step 3: Cross multiply
    2,654.70x = 3,666.15 × 2,187.23
  4. Step 4: Simplify right side
    2,654.70x = 8,018,713.26
  5. Step 5: Solve for x
    x = 8,018,713.26/2,654.70
  6. Step 6: Final answer
    x = 3,020.57

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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.