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Finding the Fourth Proportional to 1,891.20, 2,824.05 and 1,545.23

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Solution

The fourth proportional to 1,891.20, 2,824.05 and 1,545.23 is: 2,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.20 : 2,824.05 = 1,545.23 : x
  2. Step 2: Convert to fraction form
    1,891.20/2,824.05 = 1,545.23/x
  3. Step 3: Cross multiply
    1,891.20x = 2,824.05 × 1,545.23
  4. Step 4: Simplify right side
    1,891.20x = 4,363,792.66
  5. Step 5: Solve for x
    x = 4,363,792.66/1,891.20
  6. Step 6: Final answer
    x = 2,307.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.