Home / 2,140.07-3,208.28-823.10

Finding the Fourth Proportional to 2,140.07, 3,208.28 and 823.10

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Solution

The fourth proportional to 2,140.07, 3,208.28 and 823.10 is: 1,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.07 : 3,208.28 = 823.10 : x
  2. Step 2: Convert to fraction form
    2,140.07/3,208.28 = 823.10/x
  3. Step 3: Cross multiply
    2,140.07x = 3,208.28 × 823.10
  4. Step 4: Simplify right side
    2,140.07x = 2,640,715.11
  5. Step 5: Solve for x
    x = 2,640,715.11/2,140.07
  6. Step 6: Final answer
    x = 1,233.94

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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.