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Finding the Fourth Proportional to 1,488.00, 2,231.96 and 1,442.89

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Solution

The fourth proportional to 1,488.00, 2,231.96 and 1,442.89 is: 2,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.00 : 2,231.96 = 1,442.89 : x
  2. Step 2: Convert to fraction form
    1,488.00/2,231.96 = 1,442.89/x
  3. Step 3: Cross multiply
    1,488.00x = 2,231.96 × 1,442.89
  4. Step 4: Simplify right side
    1,488.00x = 3,220,462.06
  5. Step 5: Solve for x
    x = 3,220,462.06/1,488.00
  6. Step 6: Final answer
    x = 2,164.30

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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.