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Finding the Fourth Proportional to 2,252.95, 3,106.25 and 1,722.49

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Solution

The fourth proportional to 2,252.95, 3,106.25 and 1,722.49 is: 2,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.95 : 3,106.25 = 1,722.49 : x
  2. Step 2: Convert to fraction form
    2,252.95/3,106.25 = 1,722.49/x
  3. Step 3: Cross multiply
    2,252.95x = 3,106.25 × 1,722.49
  4. Step 4: Simplify right side
    2,252.95x = 5,350,484.56
  5. Step 5: Solve for x
    x = 5,350,484.56/2,252.95
  6. Step 6: Final answer
    x = 2,374.88

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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.