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Finding the Fourth Proportional to 1,597.10, 2,396.58 and 672.56

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Solution

The fourth proportional to 1,597.10, 2,396.58 and 672.56 is: 1,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.10 : 2,396.58 = 672.56 : x
  2. Step 2: Convert to fraction form
    1,597.10/2,396.58 = 672.56/x
  3. Step 3: Cross multiply
    1,597.10x = 2,396.58 × 672.56
  4. Step 4: Simplify right side
    1,597.10x = 1,611,843.84
  5. Step 5: Solve for x
    x = 1,611,843.84/1,597.10
  6. Step 6: Final answer
    x = 1,009.23

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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.