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Finding the Fourth Proportional to 2,864.96, 4,258.81 and 2,780.88

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Solution

The fourth proportional to 2,864.96, 4,258.81 and 2,780.88 is: 4,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.96 : 4,258.81 = 2,780.88 : x
  2. Step 2: Convert to fraction form
    2,864.96/4,258.81 = 2,780.88/x
  3. Step 3: Cross multiply
    2,864.96x = 4,258.81 × 2,780.88
  4. Step 4: Simplify right side
    2,864.96x = 11,843,239.55
  5. Step 5: Solve for x
    x = 11,843,239.55/2,864.96
  6. Step 6: Final answer
    x = 4,133.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.