Home / 2,285.83-3,428.97-824.68

Finding the Fourth Proportional to 2,285.83, 3,428.97 and 824.68

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Solution

The fourth proportional to 2,285.83, 3,428.97 and 824.68 is: 1,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.83 : 3,428.97 = 824.68 : x
  2. Step 2: Convert to fraction form
    2,285.83/3,428.97 = 824.68/x
  3. Step 3: Cross multiply
    2,285.83x = 3,428.97 × 824.68
  4. Step 4: Simplify right side
    2,285.83x = 2,827,802.98
  5. Step 5: Solve for x
    x = 2,827,802.98/2,285.83
  6. Step 6: Final answer
    x = 1,237.10

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1.5x scale

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.