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Finding the Fourth Proportional to 2,775.74, 4,154.36 and 2,314.44

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Solution

The fourth proportional to 2,775.74, 4,154.36 and 2,314.44 is: 3,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.74 : 4,154.36 = 2,314.44 : x
  2. Step 2: Convert to fraction form
    2,775.74/4,154.36 = 2,314.44/x
  3. Step 3: Cross multiply
    2,775.74x = 4,154.36 × 2,314.44
  4. Step 4: Simplify right side
    2,775.74x = 9,615,005.39
  5. Step 5: Solve for x
    x = 9,615,005.39/2,775.74
  6. Step 6: Final answer
    x = 3,463.95

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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.