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Finding the Fourth Proportional to 2,877.96, 4,319.10 and 1,783.92

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Solution

The fourth proportional to 2,877.96, 4,319.10 and 1,783.92 is: 2,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.96 : 4,319.10 = 1,783.92 : x
  2. Step 2: Convert to fraction form
    2,877.96/4,319.10 = 1,783.92/x
  3. Step 3: Cross multiply
    2,877.96x = 4,319.10 × 1,783.92
  4. Step 4: Simplify right side
    2,877.96x = 7,704,928.87
  5. Step 5: Solve for x
    x = 7,704,928.87/2,877.96
  6. Step 6: Final answer
    x = 2,677.22

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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.