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Finding the Fourth Proportional to 1,597.23, 2,396.61 and 673.02

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Solution

The fourth proportional to 1,597.23, 2,396.61 and 673.02 is: 1,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.23 : 2,396.61 = 673.02 : x
  2. Step 2: Convert to fraction form
    1,597.23/2,396.61 = 673.02/x
  3. Step 3: Cross multiply
    1,597.23x = 2,396.61 × 673.02
  4. Step 4: Simplify right side
    1,597.23x = 1,612,966.46
  5. Step 5: Solve for x
    x = 1,612,966.46/1,597.23
  6. Step 6: Final answer
    x = 1,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.