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Finding the Fourth Proportional to 1,597.83, 2,204.42 and 967.90

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Solution

The fourth proportional to 1,597.83, 2,204.42 and 967.90 is: 1,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.83 : 2,204.42 = 967.90 : x
  2. Step 2: Convert to fraction form
    1,597.83/2,204.42 = 967.90/x
  3. Step 3: Cross multiply
    1,597.83x = 2,204.42 × 967.90
  4. Step 4: Simplify right side
    1,597.83x = 2,133,651.90
  5. Step 5: Solve for x
    x = 2,133,651.90/1,597.83
  6. Step 6: Final answer
    x = 1,335.35

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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.