Home / 1,472.14-2,031.62-809.02

Finding the Fourth Proportional to 1,472.14, 2,031.62 and 809.02

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Solution

The fourth proportional to 1,472.14, 2,031.62 and 809.02 is: 1,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.14 : 2,031.62 = 809.02 : x
  2. Step 2: Convert to fraction form
    1,472.14/2,031.62 = 809.02/x
  3. Step 3: Cross multiply
    1,472.14x = 2,031.62 × 809.02
  4. Step 4: Simplify right side
    1,472.14x = 1,643,621.21
  5. Step 5: Solve for x
    x = 1,643,621.21/1,472.14
  6. Step 6: Final answer
    x = 1,116.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.