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Finding the Fourth Proportional to 2,585.73, 3,859.85 and 2,393.00

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Solution

The fourth proportional to 2,585.73, 3,859.85 and 2,393.00 is: 3,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.73 : 3,859.85 = 2,393.00 : x
  2. Step 2: Convert to fraction form
    2,585.73/3,859.85 = 2,393.00/x
  3. Step 3: Cross multiply
    2,585.73x = 3,859.85 × 2,393.00
  4. Step 4: Simplify right side
    2,585.73x = 9,236,618.73
  5. Step 5: Solve for x
    x = 9,236,618.73/2,585.73
  6. Step 6: Final answer
    x = 3,572.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.