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Finding the Fourth Proportional to 2,474.87, 3,712.93 and 1,745.87

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Solution

The fourth proportional to 2,474.87, 3,712.93 and 1,745.87 is: 2,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.87 : 3,712.93 = 1,745.87 : x
  2. Step 2: Convert to fraction form
    2,474.87/3,712.93 = 1,745.87/x
  3. Step 3: Cross multiply
    2,474.87x = 3,712.93 × 1,745.87
  4. Step 4: Simplify right side
    2,474.87x = 6,482,298.02
  5. Step 5: Solve for x
    x = 6,482,298.02/2,474.87
  6. Step 6: Final answer
    x = 2,619.25

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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.