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Finding the Fourth Proportional to 1,969.62, 2,717.06 and 1,597.02

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Solution

The fourth proportional to 1,969.62, 2,717.06 and 1,597.02 is: 2,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.62 : 2,717.06 = 1,597.02 : x
  2. Step 2: Convert to fraction form
    1,969.62/2,717.06 = 1,597.02/x
  3. Step 3: Cross multiply
    1,969.62x = 2,717.06 × 1,597.02
  4. Step 4: Simplify right side
    1,969.62x = 4,339,191.18
  5. Step 5: Solve for x
    x = 4,339,191.18/1,969.62
  6. Step 6: Final answer
    x = 2,203.06

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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.