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Finding the Fourth Proportional to 1,877.37, 2,815.83 and 781.59

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Solution

The fourth proportional to 1,877.37, 2,815.83 and 781.59 is: 1,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.37 : 2,815.83 = 781.59 : x
  2. Step 2: Convert to fraction form
    1,877.37/2,815.83 = 781.59/x
  3. Step 3: Cross multiply
    1,877.37x = 2,815.83 × 781.59
  4. Step 4: Simplify right side
    1,877.37x = 2,200,824.57
  5. Step 5: Solve for x
    x = 2,200,824.57/1,877.37
  6. Step 6: Final answer
    x = 1,172.29

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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.