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Finding the Fourth Proportional to 1,545.95, 2,315.48 and 1,198.24

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Solution

The fourth proportional to 1,545.95, 2,315.48 and 1,198.24 is: 1,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.95 : 2,315.48 = 1,198.24 : x
  2. Step 2: Convert to fraction form
    1,545.95/2,315.48 = 1,198.24/x
  3. Step 3: Cross multiply
    1,545.95x = 2,315.48 × 1,198.24
  4. Step 4: Simplify right side
    1,545.95x = 2,774,488.98
  5. Step 5: Solve for x
    x = 2,774,488.98/1,545.95
  6. Step 6: Final answer
    x = 1,794.68

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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.