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Finding the Fourth Proportional to 2,877.71, 4,310.30 and 1,763.75

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Solution

The fourth proportional to 2,877.71, 4,310.30 and 1,763.75 is: 2,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.71 : 4,310.30 = 1,763.75 : x
  2. Step 2: Convert to fraction form
    2,877.71/4,310.30 = 1,763.75/x
  3. Step 3: Cross multiply
    2,877.71x = 4,310.30 × 1,763.75
  4. Step 4: Simplify right side
    2,877.71x = 7,602,300.26
  5. Step 5: Solve for x
    x = 7,602,300.26/2,877.71
  6. Step 6: Final answer
    x = 2,641.79

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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.