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Finding the Fourth Proportional to 2,459.36, 3,393.90 and 1,340.30

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Solution

The fourth proportional to 2,459.36, 3,393.90 and 1,340.30 is: 1,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.36 : 3,393.90 = 1,340.30 : x
  2. Step 2: Convert to fraction form
    2,459.36/3,393.90 = 1,340.30/x
  3. Step 3: Cross multiply
    2,459.36x = 3,393.90 × 1,340.30
  4. Step 4: Simplify right side
    2,459.36x = 4,548,844.17
  5. Step 5: Solve for x
    x = 4,548,844.17/2,459.36
  6. Step 6: Final answer
    x = 1,849.60

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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.