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Finding the Fourth Proportional to 2,032.03, 3,048.59 and 991.99

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Solution

The fourth proportional to 2,032.03, 3,048.59 and 991.99 is: 1,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.03 : 3,048.59 = 991.99 : x
  2. Step 2: Convert to fraction form
    2,032.03/3,048.59 = 991.99/x
  3. Step 3: Cross multiply
    2,032.03x = 3,048.59 × 991.99
  4. Step 4: Simplify right side
    2,032.03x = 3,024,170.79
  5. Step 5: Solve for x
    x = 3,024,170.79/2,032.03
  6. Step 6: Final answer
    x = 1,488.25

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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.