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Finding the Fourth Proportional to 2,818.32, 3,890.07 and 2,258.57

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Solution

The fourth proportional to 2,818.32, 3,890.07 and 2,258.57 is: 3,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.32 : 3,890.07 = 2,258.57 : x
  2. Step 2: Convert to fraction form
    2,818.32/3,890.07 = 2,258.57/x
  3. Step 3: Cross multiply
    2,818.32x = 3,890.07 × 2,258.57
  4. Step 4: Simplify right side
    2,818.32x = 8,785,975.95
  5. Step 5: Solve for x
    x = 8,785,975.95/2,818.32
  6. Step 6: Final answer
    x = 3,117.45

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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.