Home / 2,031.80-3,042.30-1,297.40

Finding the Fourth Proportional to 2,031.80, 3,042.30 and 1,297.40

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Solution

The fourth proportional to 2,031.80, 3,042.30 and 1,297.40 is: 1,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.80 : 3,042.30 = 1,297.40 : x
  2. Step 2: Convert to fraction form
    2,031.80/3,042.30 = 1,297.40/x
  3. Step 3: Cross multiply
    2,031.80x = 3,042.30 × 1,297.40
  4. Step 4: Simplify right side
    2,031.80x = 3,947,080.02
  5. Step 5: Solve for x
    x = 3,947,080.02/2,031.80
  6. Step 6: Final answer
    x = 1,942.65

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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.