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Finding the Fourth Proportional to 2,347.14, 3,238.68 and 1,299

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Solution

The fourth proportional to 2,347.14, 3,238.68 and 1,299 is: 1,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.14 : 3,238.68 = 1,299 : x
  2. Step 2: Convert to fraction form
    2,347.14/3,238.68 = 1,299/x
  3. Step 3: Cross multiply
    2,347.14x = 3,238.68 × 1,299
  4. Step 4: Simplify right side
    2,347.14x = 4,207,045.32
  5. Step 5: Solve for x
    x = 4,207,045.32/2,347.14
  6. Step 6: Final answer
    x = 1,792.41

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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.