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Finding the Fourth Proportional to 1,544, 2,315.66 and 721.84

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Solution

The fourth proportional to 1,544, 2,315.66 and 721.84 is: 1,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544 : 2,315.66 = 721.84 : x
  2. Step 2: Convert to fraction form
    1,544/2,315.66 = 721.84/x
  3. Step 3: Cross multiply
    1,544x = 2,315.66 × 721.84
  4. Step 4: Simplify right side
    1,544x = 1,671,536.01
  5. Step 5: Solve for x
    x = 1,671,536.01/1,544
  6. Step 6: Final answer
    x = 1,082.60

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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.