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Finding the Fourth Proportional to 2,356.85, 3,252.42 and 1,294.66

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Solution

The fourth proportional to 2,356.85, 3,252.42 and 1,294.66 is: 1,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.85 : 3,252.42 = 1,294.66 : x
  2. Step 2: Convert to fraction form
    2,356.85/3,252.42 = 1,294.66/x
  3. Step 3: Cross multiply
    2,356.85x = 3,252.42 × 1,294.66
  4. Step 4: Simplify right side
    2,356.85x = 4,210,775.73
  5. Step 5: Solve for x
    x = 4,210,775.73/2,356.85
  6. Step 6: Final answer
    x = 1,786.61

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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.