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Finding the Fourth Proportional to 2,632.29, 3,648.25 and 2,583.08

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Solution

The fourth proportional to 2,632.29, 3,648.25 and 2,583.08 is: 3,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.29 : 3,648.25 = 2,583.08 : x
  2. Step 2: Convert to fraction form
    2,632.29/3,648.25 = 2,583.08/x
  3. Step 3: Cross multiply
    2,632.29x = 3,648.25 × 2,583.08
  4. Step 4: Simplify right side
    2,632.29x = 9,423,721.61
  5. Step 5: Solve for x
    x = 9,423,721.61/2,632.29
  6. Step 6: Final answer
    x = 3,580.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.