Home / 1,592.12-2,197.26-929.03

Finding the Fourth Proportional to 1,592.12, 2,197.26 and 929.03

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Solution

The fourth proportional to 1,592.12, 2,197.26 and 929.03 is: 1,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.12 : 2,197.26 = 929.03 : x
  2. Step 2: Convert to fraction form
    1,592.12/2,197.26 = 929.03/x
  3. Step 3: Cross multiply
    1,592.12x = 2,197.26 × 929.03
  4. Step 4: Simplify right side
    1,592.12x = 2,041,320.46
  5. Step 5: Solve for x
    x = 2,041,320.46/1,592.12
  6. Step 6: Final answer
    x = 1,282.14

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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.