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Finding the Fourth Proportional to 1,566.85, 2,162.49 and 894.65

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Solution

The fourth proportional to 1,566.85, 2,162.49 and 894.65 is: 1,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.85 : 2,162.49 = 894.65 : x
  2. Step 2: Convert to fraction form
    1,566.85/2,162.49 = 894.65/x
  3. Step 3: Cross multiply
    1,566.85x = 2,162.49 × 894.65
  4. Step 4: Simplify right side
    1,566.85x = 1,934,671.68
  5. Step 5: Solve for x
    x = 1,934,671.68/1,566.85
  6. Step 6: Final answer
    x = 1,234.75

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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.