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Finding the Fourth Proportional to 2,585.01, 3,875.95 and 1,023.20

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Solution

The fourth proportional to 2,585.01, 3,875.95 and 1,023.20 is: 1,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.01 : 3,875.95 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    2,585.01/3,875.95 = 1,023.20/x
  3. Step 3: Cross multiply
    2,585.01x = 3,875.95 × 1,023.20
  4. Step 4: Simplify right side
    2,585.01x = 3,965,872.04
  5. Step 5: Solve for x
    x = 3,965,872.04/2,585.01
  6. Step 6: Final answer
    x = 1,534.18

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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.