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Finding the Fourth Proportional to 2,886.59, 3,982.55 and 1,766.36

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Solution

The fourth proportional to 2,886.59, 3,982.55 and 1,766.36 is: 2,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.59 : 3,982.55 = 1,766.36 : x
  2. Step 2: Convert to fraction form
    2,886.59/3,982.55 = 1,766.36/x
  3. Step 3: Cross multiply
    2,886.59x = 3,982.55 × 1,766.36
  4. Step 4: Simplify right side
    2,886.59x = 7,034,617.02
  5. Step 5: Solve for x
    x = 7,034,617.02/2,886.59
  6. Step 6: Final answer
    x = 2,437.00

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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.