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Finding the Fourth Proportional to 2,593.84, 3,888.57 and 1,206.47

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Solution

The fourth proportional to 2,593.84, 3,888.57 and 1,206.47 is: 1,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.84 : 3,888.57 = 1,206.47 : x
  2. Step 2: Convert to fraction form
    2,593.84/3,888.57 = 1,206.47/x
  3. Step 3: Cross multiply
    2,593.84x = 3,888.57 × 1,206.47
  4. Step 4: Simplify right side
    2,593.84x = 4,691,423.61
  5. Step 5: Solve for x
    x = 4,691,423.61/2,593.84
  6. Step 6: Final answer
    x = 1,808.68

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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.