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Finding the Fourth Proportional to 2,585.66, 3,878.48 and 1,288.04

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Solution

The fourth proportional to 2,585.66, 3,878.48 and 1,288.04 is: 1,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.66 : 3,878.48 = 1,288.04 : x
  2. Step 2: Convert to fraction form
    2,585.66/3,878.48 = 1,288.04/x
  3. Step 3: Cross multiply
    2,585.66x = 3,878.48 × 1,288.04
  4. Step 4: Simplify right side
    2,585.66x = 4,995,621.21
  5. Step 5: Solve for x
    x = 4,995,621.21/2,585.66
  6. Step 6: Final answer
    x = 1,932.05

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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.