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Finding the Fourth Proportional to 2,924.96, 4,039.15 and 1,878.86

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Solution

The fourth proportional to 2,924.96, 4,039.15 and 1,878.86 is: 2,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.96 : 4,039.15 = 1,878.86 : x
  2. Step 2: Convert to fraction form
    2,924.96/4,039.15 = 1,878.86/x
  3. Step 3: Cross multiply
    2,924.96x = 4,039.15 × 1,878.86
  4. Step 4: Simplify right side
    2,924.96x = 7,588,972.48
  5. Step 5: Solve for x
    x = 7,588,972.48/2,924.96
  6. Step 6: Final answer
    x = 2,594.56

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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.