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Finding the Fourth Proportional to 2,853.66, 4,277.42 and 1,866.10

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Solution

The fourth proportional to 2,853.66, 4,277.42 and 1,866.10 is: 2,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.66 : 4,277.42 = 1,866.10 : x
  2. Step 2: Convert to fraction form
    2,853.66/4,277.42 = 1,866.10/x
  3. Step 3: Cross multiply
    2,853.66x = 4,277.42 × 1,866.10
  4. Step 4: Simplify right side
    2,853.66x = 7,982,084.13
  5. Step 5: Solve for x
    x = 7,982,084.13/2,853.66
  6. Step 6: Final answer
    x = 2,797.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.