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Finding the Fourth Proportional to 2,585.32, 3,873.12 and 1,613.32

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Solution

The fourth proportional to 2,585.32, 3,873.12 and 1,613.32 is: 2,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.32 : 3,873.12 = 1,613.32 : x
  2. Step 2: Convert to fraction form
    2,585.32/3,873.12 = 1,613.32/x
  3. Step 3: Cross multiply
    2,585.32x = 3,873.12 × 1,613.32
  4. Step 4: Simplify right side
    2,585.32x = 6,248,581.96
  5. Step 5: Solve for x
    x = 6,248,581.96/2,585.32
  6. Step 6: Final answer
    x = 2,416.95

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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.