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Finding the Fourth Proportional to 1,773.78, 2,447.86 and 1,065.74

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Solution

The fourth proportional to 1,773.78, 2,447.86 and 1,065.74 is: 1,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.78 : 2,447.86 = 1,065.74 : x
  2. Step 2: Convert to fraction form
    1,773.78/2,447.86 = 1,065.74/x
  3. Step 3: Cross multiply
    1,773.78x = 2,447.86 × 1,065.74
  4. Step 4: Simplify right side
    1,773.78x = 2,608,782.32
  5. Step 5: Solve for x
    x = 2,608,782.32/1,773.78
  6. Step 6: Final answer
    x = 1,470.75

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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.