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Finding the Fourth Proportional to 1,597.16, 2,203.97 and 888.92

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Solution

The fourth proportional to 1,597.16, 2,203.97 and 888.92 is: 1,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.16 : 2,203.97 = 888.92 : x
  2. Step 2: Convert to fraction form
    1,597.16/2,203.97 = 888.92/x
  3. Step 3: Cross multiply
    1,597.16x = 2,203.97 × 888.92
  4. Step 4: Simplify right side
    1,597.16x = 1,959,164.46
  5. Step 5: Solve for x
    x = 1,959,164.46/1,597.16
  6. Step 6: Final answer
    x = 1,226.66

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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.