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Finding the Fourth Proportional to 2,105.45, 3,152.10 and 1,862.45

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Solution

The fourth proportional to 2,105.45, 3,152.10 and 1,862.45 is: 2,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.45 : 3,152.10 = 1,862.45 : x
  2. Step 2: Convert to fraction form
    2,105.45/3,152.10 = 1,862.45/x
  3. Step 3: Cross multiply
    2,105.45x = 3,152.10 × 1,862.45
  4. Step 4: Simplify right side
    2,105.45x = 5,870,628.65
  5. Step 5: Solve for x
    x = 5,870,628.65/2,105.45
  6. Step 6: Final answer
    x = 2,788.30

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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.