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Finding the Fourth Proportional to 2,043.30, 3,064.80 and 1,003.08

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Solution

The fourth proportional to 2,043.30, 3,064.80 and 1,003.08 is: 1,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.30 : 3,064.80 = 1,003.08 : x
  2. Step 2: Convert to fraction form
    2,043.30/3,064.80 = 1,003.08/x
  3. Step 3: Cross multiply
    2,043.30x = 3,064.80 × 1,003.08
  4. Step 4: Simplify right side
    2,043.30x = 3,074,239.58
  5. Step 5: Solve for x
    x = 3,074,239.58/2,043.30
  6. Step 6: Final answer
    x = 1,504.55

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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.