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Finding the Fourth Proportional to 2,878.42, 3,971.54 and 2,091.10

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Solution

The fourth proportional to 2,878.42, 3,971.54 and 2,091.10 is: 2,885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.42 : 3,971.54 = 2,091.10 : x
  2. Step 2: Convert to fraction form
    2,878.42/3,971.54 = 2,091.10/x
  3. Step 3: Cross multiply
    2,878.42x = 3,971.54 × 2,091.10
  4. Step 4: Simplify right side
    2,878.42x = 8,304,887.29
  5. Step 5: Solve for x
    x = 8,304,887.29/2,878.42
  6. Step 6: Final answer
    x = 2,885.22

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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.