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Finding the Fourth Proportional to 2,494.89, 3,744.65 and 1,263.17

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Solution

The fourth proportional to 2,494.89, 3,744.65 and 1,263.17 is: 1,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.89 : 3,744.65 = 1,263.17 : x
  2. Step 2: Convert to fraction form
    2,494.89/3,744.65 = 1,263.17/x
  3. Step 3: Cross multiply
    2,494.89x = 3,744.65 × 1,263.17
  4. Step 4: Simplify right side
    2,494.89x = 4,730,123.22
  5. Step 5: Solve for x
    x = 4,730,123.22/2,494.89
  6. Step 6: Final answer
    x = 1,895.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.