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Finding the Fourth Proportional to 2,801.16, 3,864.24 and 2,175.84

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Solution

The fourth proportional to 2,801.16, 3,864.24 and 2,175.84 is: 3,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.16 : 3,864.24 = 2,175.84 : x
  2. Step 2: Convert to fraction form
    2,801.16/3,864.24 = 2,175.84/x
  3. Step 3: Cross multiply
    2,801.16x = 3,864.24 × 2,175.84
  4. Step 4: Simplify right side
    2,801.16x = 8,407,967.96
  5. Step 5: Solve for x
    x = 8,407,967.96/2,801.16
  6. Step 6: Final answer
    x = 3,001.60

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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.