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Finding the Fourth Proportional to 2,593.06, 3,888.90 and 1,033

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Solution

The fourth proportional to 2,593.06, 3,888.90 and 1,033 is: 1,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.06 : 3,888.90 = 1,033 : x
  2. Step 2: Convert to fraction form
    2,593.06/3,888.90 = 1,033/x
  3. Step 3: Cross multiply
    2,593.06x = 3,888.90 × 1,033
  4. Step 4: Simplify right side
    2,593.06x = 4,017,233.70
  5. Step 5: Solve for x
    x = 4,017,233.70/2,593.06
  6. Step 6: Final answer
    x = 1,549.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.