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Finding the Fourth Proportional to 2,019.93, 3,031.52 and 1,046.31

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Solution

The fourth proportional to 2,019.93, 3,031.52 and 1,046.31 is: 1,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.93 : 3,031.52 = 1,046.31 : x
  2. Step 2: Convert to fraction form
    2,019.93/3,031.52 = 1,046.31/x
  3. Step 3: Cross multiply
    2,019.93x = 3,031.52 × 1,046.31
  4. Step 4: Simplify right side
    2,019.93x = 3,171,904.46
  5. Step 5: Solve for x
    x = 3,171,904.46/2,019.93
  6. Step 6: Final answer
    x = 1,570.30

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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.