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Finding the Fourth Proportional to 1,826.65, 2,519.10 and 1,562.09

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Solution

The fourth proportional to 1,826.65, 2,519.10 and 1,562.09 is: 2,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.65 : 2,519.10 = 1,562.09 : x
  2. Step 2: Convert to fraction form
    1,826.65/2,519.10 = 1,562.09/x
  3. Step 3: Cross multiply
    1,826.65x = 2,519.10 × 1,562.09
  4. Step 4: Simplify right side
    1,826.65x = 3,935,048.32
  5. Step 5: Solve for x
    x = 3,935,048.32/1,826.65
  6. Step 6: Final answer
    x = 2,154.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.