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Finding the Fourth Proportional to 2,507.39, 3,459.34 and 2,009.85

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Solution

The fourth proportional to 2,507.39, 3,459.34 and 2,009.85 is: 2,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.39 : 3,459.34 = 2,009.85 : x
  2. Step 2: Convert to fraction form
    2,507.39/3,459.34 = 2,009.85/x
  3. Step 3: Cross multiply
    2,507.39x = 3,459.34 × 2,009.85
  4. Step 4: Simplify right side
    2,507.39x = 6,952,744.04
  5. Step 5: Solve for x
    x = 6,952,744.04/2,507.39
  6. Step 6: Final answer
    x = 2,772.90

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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.