Home / 1,974.03-2,962.86-1,000.83

Finding the Fourth Proportional to 1,974.03, 2,962.86 and 1,000.83

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Solution

The fourth proportional to 1,974.03, 2,962.86 and 1,000.83 is: 1,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.03 : 2,962.86 = 1,000.83 : x
  2. Step 2: Convert to fraction form
    1,974.03/2,962.86 = 1,000.83/x
  3. Step 3: Cross multiply
    1,974.03x = 2,962.86 × 1,000.83
  4. Step 4: Simplify right side
    1,974.03x = 2,965,319.17
  5. Step 5: Solve for x
    x = 2,965,319.17/1,974.03
  6. Step 6: Final answer
    x = 1,502.17

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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.