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Finding the Fourth Proportional to 1,928.64, 2,877.82 and 1,811.10

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Solution

The fourth proportional to 1,928.64, 2,877.82 and 1,811.10 is: 2,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.64 : 2,877.82 = 1,811.10 : x
  2. Step 2: Convert to fraction form
    1,928.64/2,877.82 = 1,811.10/x
  3. Step 3: Cross multiply
    1,928.64x = 2,877.82 × 1,811.10
  4. Step 4: Simplify right side
    1,928.64x = 5,212,019.80
  5. Step 5: Solve for x
    x = 5,212,019.80/1,928.64
  6. Step 6: Final answer
    x = 2,702.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.