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Finding the Fourth Proportional to 1,544.05, 2,315.67 and 721.90

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Solution

The fourth proportional to 1,544.05, 2,315.67 and 721.90 is: 1,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.05 : 2,315.67 = 721.90 : x
  2. Step 2: Convert to fraction form
    1,544.05/2,315.67 = 721.90/x
  3. Step 3: Cross multiply
    1,544.05x = 2,315.67 × 721.90
  4. Step 4: Simplify right side
    1,544.05x = 1,671,682.17
  5. Step 5: Solve for x
    x = 1,671,682.17/1,544.05
  6. Step 6: Final answer
    x = 1,082.66

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