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Finding the Fourth Proportional to 2,023.48, 2,789.04 and 1,603.06

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Solution

The fourth proportional to 2,023.48, 2,789.04 and 1,603.06 is: 2,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.48 : 2,789.04 = 1,603.06 : x
  2. Step 2: Convert to fraction form
    2,023.48/2,789.04 = 1,603.06/x
  3. Step 3: Cross multiply
    2,023.48x = 2,789.04 × 1,603.06
  4. Step 4: Simplify right side
    2,023.48x = 4,470,998.46
  5. Step 5: Solve for x
    x = 4,470,998.46/2,023.48
  6. Step 6: Final answer
    x = 2,209.56

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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.