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Finding the Fourth Proportional to 1,773.79, 2,448.12 and 1,278.07

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Solution

The fourth proportional to 1,773.79, 2,448.12 and 1,278.07 is: 1,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.79 : 2,448.12 = 1,278.07 : x
  2. Step 2: Convert to fraction form
    1,773.79/2,448.12 = 1,278.07/x
  3. Step 3: Cross multiply
    1,773.79x = 2,448.12 × 1,278.07
  4. Step 4: Simplify right side
    1,773.79x = 3,128,868.73
  5. Step 5: Solve for x
    x = 3,128,868.73/1,773.79
  6. Step 6: Final answer
    x = 1,763.95

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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.