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Finding the Fourth Proportional to 2,855.96, 4,278.32 and 1,465.20

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Solution

The fourth proportional to 2,855.96, 4,278.32 and 1,465.20 is: 2,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.96 : 4,278.32 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    2,855.96/4,278.32 = 1,465.20/x
  3. Step 3: Cross multiply
    2,855.96x = 4,278.32 × 1,465.20
  4. Step 4: Simplify right side
    2,855.96x = 6,268,594.46
  5. Step 5: Solve for x
    x = 6,268,594.46/2,855.96
  6. Step 6: Final answer
    x = 2,194.92

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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.