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Finding the Fourth Proportional to 2,854.96, 4,274.34 and 1,878.10

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Solution

The fourth proportional to 2,854.96, 4,274.34 and 1,878.10 is: 2,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.96 : 4,274.34 = 1,878.10 : x
  2. Step 2: Convert to fraction form
    2,854.96/4,274.34 = 1,878.10/x
  3. Step 3: Cross multiply
    2,854.96x = 4,274.34 × 1,878.10
  4. Step 4: Simplify right side
    2,854.96x = 8,027,637.95
  5. Step 5: Solve for x
    x = 8,027,637.95/2,854.96
  6. Step 6: Final answer
    x = 2,811.82

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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.