Home / 2,023.93-3,031.64-929.22

Finding the Fourth Proportional to 2,023.93, 3,031.64 and 929.22

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Solution

The fourth proportional to 2,023.93, 3,031.64 and 929.22 is: 1,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.93 : 3,031.64 = 929.22 : x
  2. Step 2: Convert to fraction form
    2,023.93/3,031.64 = 929.22/x
  3. Step 3: Cross multiply
    2,023.93x = 3,031.64 × 929.22
  4. Step 4: Simplify right side
    2,023.93x = 2,817,047.99
  5. Step 5: Solve for x
    x = 2,817,047.99/2,023.93
  6. Step 6: Final answer
    x = 1,391.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.