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Finding the Fourth Proportional to 2,447.74, 3,386.78 and 2,133.66

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Solution

The fourth proportional to 2,447.74, 3,386.78 and 2,133.66 is: 2,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.74 : 3,386.78 = 2,133.66 : x
  2. Step 2: Convert to fraction form
    2,447.74/3,386.78 = 2,133.66/x
  3. Step 3: Cross multiply
    2,447.74x = 3,386.78 × 2,133.66
  4. Step 4: Simplify right side
    2,447.74x = 7,226,226.35
  5. Step 5: Solve for x
    x = 7,226,226.35/2,447.74
  6. Step 6: Final answer
    x = 2,952.21

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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.