Home / 1,982.08-2,973.56-1,057.15

Finding the Fourth Proportional to 1,982.08, 2,973.56 and 1,057.15

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Solution

The fourth proportional to 1,982.08, 2,973.56 and 1,057.15 is: 1,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.08 : 2,973.56 = 1,057.15 : x
  2. Step 2: Convert to fraction form
    1,982.08/2,973.56 = 1,057.15/x
  3. Step 3: Cross multiply
    1,982.08x = 2,973.56 × 1,057.15
  4. Step 4: Simplify right side
    1,982.08x = 3,143,494.16
  5. Step 5: Solve for x
    x = 3,143,494.16/1,982.08
  6. Step 6: Final answer
    x = 1,585.96

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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.