Home / 2,024.21-3,034.65-913.70

Finding the Fourth Proportional to 2,024.21, 3,034.65 and 913.70

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Solution

The fourth proportional to 2,024.21, 3,034.65 and 913.70 is: 1,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.21 : 3,034.65 = 913.70 : x
  2. Step 2: Convert to fraction form
    2,024.21/3,034.65 = 913.70/x
  3. Step 3: Cross multiply
    2,024.21x = 3,034.65 × 913.70
  4. Step 4: Simplify right side
    2,024.21x = 2,772,759.71
  5. Step 5: Solve for x
    x = 2,772,759.71/2,024.21
  6. Step 6: Final answer
    x = 1,369.80

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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.