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Finding the Fourth Proportional to 2,356.47, 3,251.88 and 1,294.23

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Solution

The fourth proportional to 2,356.47, 3,251.88 and 1,294.23 is: 1,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.47 : 3,251.88 = 1,294.23 : x
  2. Step 2: Convert to fraction form
    2,356.47/3,251.88 = 1,294.23/x
  3. Step 3: Cross multiply
    2,356.47x = 3,251.88 × 1,294.23
  4. Step 4: Simplify right side
    2,356.47x = 4,208,680.65
  5. Step 5: Solve for x
    x = 4,208,680.65/2,356.47
  6. Step 6: Final answer
    x = 1,786.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.