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Finding the Fourth Proportional to 2,712.39, 3,744.90 and 1,666.26

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Solution

The fourth proportional to 2,712.39, 3,744.90 and 1,666.26 is: 2,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.39 : 3,744.90 = 1,666.26 : x
  2. Step 2: Convert to fraction form
    2,712.39/3,744.90 = 1,666.26/x
  3. Step 3: Cross multiply
    2,712.39x = 3,744.90 × 1,666.26
  4. Step 4: Simplify right side
    2,712.39x = 6,239,977.07
  5. Step 5: Solve for x
    x = 6,239,977.07/2,712.39
  6. Step 6: Final answer
    x = 2,300.55

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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.