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Finding the Fourth Proportional to 1,488.01, 2,226.75 and 1,097.09

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Solution

The fourth proportional to 1,488.01, 2,226.75 and 1,097.09 is: 1,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.01 : 2,226.75 = 1,097.09 : x
  2. Step 2: Convert to fraction form
    1,488.01/2,226.75 = 1,097.09/x
  3. Step 3: Cross multiply
    1,488.01x = 2,226.75 × 1,097.09
  4. Step 4: Simplify right side
    1,488.01x = 2,442,945.16
  5. Step 5: Solve for x
    x = 2,442,945.16/1,488.01
  6. Step 6: Final answer
    x = 1,641.75

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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.