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Finding the Fourth Proportional to 2,801.88, 3,864.78 and 2,706.84

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Solution

The fourth proportional to 2,801.88, 3,864.78 and 2,706.84 is: 3,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.88 : 3,864.78 = 2,706.84 : x
  2. Step 2: Convert to fraction form
    2,801.88/3,864.78 = 2,706.84/x
  3. Step 3: Cross multiply
    2,801.88x = 3,864.78 × 2,706.84
  4. Step 4: Simplify right side
    2,801.88x = 10,461,341.10
  5. Step 5: Solve for x
    x = 10,461,341.10/2,801.88
  6. Step 6: Final answer
    x = 3,733.69

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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.