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Finding the Fourth Proportional to 1,597, 2,203.86 and 976

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Solution

The fourth proportional to 1,597, 2,203.86 and 976 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 2,203.86 = 976 : x
  2. Step 2: Convert to fraction form
    1,597/2,203.86 = 976/x
  3. Step 3: Cross multiply
    1,597x = 2,203.86 × 976
  4. Step 4: Simplify right side
    1,597x = 2,150,967.36
  5. Step 5: Solve for x
    x = 2,150,967.36/1,597
  6. Step 6: Final answer
    x = 1,346.88

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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.