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Finding the Fourth Proportional to 2,356.85, 3,252.58 and 1,294.67

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Solution

The fourth proportional to 2,356.85, 3,252.58 and 1,294.67 is: 1,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.85 : 3,252.58 = 1,294.67 : x
  2. Step 2: Convert to fraction form
    2,356.85/3,252.58 = 1,294.67/x
  3. Step 3: Cross multiply
    2,356.85x = 3,252.58 × 1,294.67
  4. Step 4: Simplify right side
    2,356.85x = 4,211,022.64
  5. Step 5: Solve for x
    x = 4,211,022.64/2,356.85
  6. Step 6: Final answer
    x = 1,786.71

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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.