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Finding the Fourth Proportional to 3,448.96, 4,759.66 and 1,877.18

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Solution

The fourth proportional to 3,448.96, 4,759.66 and 1,877.18 is: 2,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.96 : 4,759.66 = 1,877.18 : x
  2. Step 2: Convert to fraction form
    3,448.96/4,759.66 = 1,877.18/x
  3. Step 3: Cross multiply
    3,448.96x = 4,759.66 × 1,877.18
  4. Step 4: Simplify right side
    3,448.96x = 8,934,738.56
  5. Step 5: Solve for x
    x = 8,934,738.56/3,448.96
  6. Step 6: Final answer
    x = 2,590.56

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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.