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Finding the Fourth Proportional to 3,442.87, 4,751.17 and 1,870.96

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Solution

The fourth proportional to 3,442.87, 4,751.17 and 1,870.96 is: 2,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.87 : 4,751.17 = 1,870.96 : x
  2. Step 2: Convert to fraction form
    3,442.87/4,751.17 = 1,870.96/x
  3. Step 3: Cross multiply
    3,442.87x = 4,751.17 × 1,870.96
  4. Step 4: Simplify right side
    3,442.87x = 8,889,249.02
  5. Step 5: Solve for x
    x = 8,889,249.02/3,442.87
  6. Step 6: Final answer
    x = 2,581.93

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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.