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Finding the Fourth Proportional to 2,878.12, 3,971.28 and 1,758.16

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Solution

The fourth proportional to 2,878.12, 3,971.28 and 1,758.16 is: 2,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.12 : 3,971.28 = 1,758.16 : x
  2. Step 2: Convert to fraction form
    2,878.12/3,971.28 = 1,758.16/x
  3. Step 3: Cross multiply
    2,878.12x = 3,971.28 × 1,758.16
  4. Step 4: Simplify right side
    2,878.12x = 6,982,145.64
  5. Step 5: Solve for x
    x = 6,982,145.64/2,878.12
  6. Step 6: Final answer
    x = 2,425.94

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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.