Home / 1,982.34-2,975.12-1,398.50

Finding the Fourth Proportional to 1,982.34, 2,975.12 and 1,398.50

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Solution

The fourth proportional to 1,982.34, 2,975.12 and 1,398.50 is: 2,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,975.12 = 1,398.50 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,975.12 = 1,398.50/x
  3. Step 3: Cross multiply
    1,982.34x = 2,975.12 × 1,398.50
  4. Step 4: Simplify right side
    1,982.34x = 4,160,705.32
  5. Step 5: Solve for x
    x = 4,160,705.32/1,982.34
  6. Step 6: Final answer
    x = 2,098.89

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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.