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Finding the Fourth Proportional to 1,597.91, 2,204.64 and 1,008.64

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Solution

The fourth proportional to 1,597.91, 2,204.64 and 1,008.64 is: 1,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.91 : 2,204.64 = 1,008.64 : x
  2. Step 2: Convert to fraction form
    1,597.91/2,204.64 = 1,008.64/x
  3. Step 3: Cross multiply
    1,597.91x = 2,204.64 × 1,008.64
  4. Step 4: Simplify right side
    1,597.91x = 2,223,677.07
  5. Step 5: Solve for x
    x = 2,223,677.07/1,597.91
  6. Step 6: Final answer
    x = 1,391.62

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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.