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Finding the Fourth Proportional to 2,356.41, 3,251.88 and 1,294.14

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Solution

The fourth proportional to 2,356.41, 3,251.88 and 1,294.14 is: 1,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.41 : 3,251.88 = 1,294.14 : x
  2. Step 2: Convert to fraction form
    2,356.41/3,251.88 = 1,294.14/x
  3. Step 3: Cross multiply
    2,356.41x = 3,251.88 × 1,294.14
  4. Step 4: Simplify right side
    2,356.41x = 4,208,400.18
  5. Step 5: Solve for x
    x = 4,208,400.18/2,356.41
  6. Step 6: Final answer
    x = 1,785.94

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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.