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Finding the Fourth Proportional to 3,047.74, 4,205.84 and 1,788.57

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Solution

The fourth proportional to 3,047.74, 4,205.84 and 1,788.57 is: 2,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.74 : 4,205.84 = 1,788.57 : x
  2. Step 2: Convert to fraction form
    3,047.74/4,205.84 = 1,788.57/x
  3. Step 3: Cross multiply
    3,047.74x = 4,205.84 × 1,788.57
  4. Step 4: Simplify right side
    3,047.74x = 7,522,418.22
  5. Step 5: Solve for x
    x = 7,522,418.22/3,047.74
  6. Step 6: Final answer
    x = 2,468.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.