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Finding the Fourth Proportional to 2,258.74, 3,384.85 and 1,282.78

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Solution

The fourth proportional to 2,258.74, 3,384.85 and 1,282.78 is: 1,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.74 : 3,384.85 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    2,258.74/3,384.85 = 1,282.78/x
  3. Step 3: Cross multiply
    2,258.74x = 3,384.85 × 1,282.78
  4. Step 4: Simplify right side
    2,258.74x = 4,342,017.88
  5. Step 5: Solve for x
    x = 4,342,017.88/2,258.74
  6. Step 6: Final answer
    x = 1,922.32

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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.