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Finding the Fourth Proportional to 2,593.86, 3,888.66 and 1,033.20

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Solution

The fourth proportional to 2,593.86, 3,888.66 and 1,033.20 is: 1,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.86 : 3,888.66 = 1,033.20 : x
  2. Step 2: Convert to fraction form
    2,593.86/3,888.66 = 1,033.20/x
  3. Step 3: Cross multiply
    2,593.86x = 3,888.66 × 1,033.20
  4. Step 4: Simplify right side
    2,593.86x = 4,017,763.51
  5. Step 5: Solve for x
    x = 4,017,763.51/2,593.86
  6. Step 6: Final answer
    x = 1,548.95

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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.