Home / 1,974.16-2,962.14-1,049.48

Finding the Fourth Proportional to 1,974.16, 2,962.14 and 1,049.48

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Solution

The fourth proportional to 1,974.16, 2,962.14 and 1,049.48 is: 1,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.16 : 2,962.14 = 1,049.48 : x
  2. Step 2: Convert to fraction form
    1,974.16/2,962.14 = 1,049.48/x
  3. Step 3: Cross multiply
    1,974.16x = 2,962.14 × 1,049.48
  4. Step 4: Simplify right side
    1,974.16x = 3,108,706.69
  5. Step 5: Solve for x
    x = 3,108,706.69/1,974.16
  6. Step 6: Final answer
    x = 1,574.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.