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Finding the Fourth Proportional to 2,507.38, 3,459.90 and 1,388.14

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Solution

The fourth proportional to 2,507.38, 3,459.90 and 1,388.14 is: 1,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.38 : 3,459.90 = 1,388.14 : x
  2. Step 2: Convert to fraction form
    2,507.38/3,459.90 = 1,388.14/x
  3. Step 3: Cross multiply
    2,507.38x = 3,459.90 × 1,388.14
  4. Step 4: Simplify right side
    2,507.38x = 4,802,825.59
  5. Step 5: Solve for x
    x = 4,802,825.59/2,507.38
  6. Step 6: Final answer
    x = 1,915.48

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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.