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Finding the Fourth Proportional to 2,507.31, 3,459.80 and 1,388.10

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Solution

The fourth proportional to 2,507.31, 3,459.80 and 1,388.10 is: 1,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.31 : 3,459.80 = 1,388.10 : x
  2. Step 2: Convert to fraction form
    2,507.31/3,459.80 = 1,388.10/x
  3. Step 3: Cross multiply
    2,507.31x = 3,459.80 × 1,388.10
  4. Step 4: Simplify right side
    2,507.31x = 4,802,548.38
  5. Step 5: Solve for x
    x = 4,802,548.38/2,507.31
  6. Step 6: Final answer
    x = 1,915.42

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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.