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Finding the Fourth Proportional to 1,605.97, 2,216.19 and 897.94

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Solution

The fourth proportional to 1,605.97, 2,216.19 and 897.94 is: 1,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.97 : 2,216.19 = 897.94 : x
  2. Step 2: Convert to fraction form
    1,605.97/2,216.19 = 897.94/x
  3. Step 3: Cross multiply
    1,605.97x = 2,216.19 × 897.94
  4. Step 4: Simplify right side
    1,605.97x = 1,990,005.65
  5. Step 5: Solve for x
    x = 1,990,005.65/1,605.97
  6. Step 6: Final answer
    x = 1,239.13

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1.5x scale

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.