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Finding the Fourth Proportional to 2,713.87, 3,746.07 and 1,595.14

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Solution

The fourth proportional to 2,713.87, 3,746.07 and 1,595.14 is: 2,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.87 : 3,746.07 = 1,595.14 : x
  2. Step 2: Convert to fraction form
    2,713.87/3,746.07 = 1,595.14/x
  3. Step 3: Cross multiply
    2,713.87x = 3,746.07 × 1,595.14
  4. Step 4: Simplify right side
    2,713.87x = 5,975,504.80
  5. Step 5: Solve for x
    x = 5,975,504.80/2,713.87
  6. Step 6: Final answer
    x = 2,201.84

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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.