Home / 2,024.16-3,036.24-707.92

Finding the Fourth Proportional to 2,024.16, 3,036.24 and 707.92

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Solution

The fourth proportional to 2,024.16, 3,036.24 and 707.92 is: 1,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.16 : 3,036.24 = 707.92 : x
  2. Step 2: Convert to fraction form
    2,024.16/3,036.24 = 707.92/x
  3. Step 3: Cross multiply
    2,024.16x = 3,036.24 × 707.92
  4. Step 4: Simplify right side
    2,024.16x = 2,149,415.02
  5. Step 5: Solve for x
    x = 2,149,415.02/2,024.16
  6. Step 6: Final answer
    x = 1,061.88

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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.