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Finding the Fourth Proportional to 2,019.58, 3,031 and 1,045.96

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Solution

The fourth proportional to 2,019.58, 3,031 and 1,045.96 is: 1,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.58 : 3,031 = 1,045.96 : x
  2. Step 2: Convert to fraction form
    2,019.58/3,031 = 1,045.96/x
  3. Step 3: Cross multiply
    2,019.58x = 3,031 × 1,045.96
  4. Step 4: Simplify right side
    2,019.58x = 3,170,304.76
  5. Step 5: Solve for x
    x = 3,170,304.76/2,019.58
  6. Step 6: Final answer
    x = 1,569.78

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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.