Home / 1,522.92-2,102.88-933.78

Finding the Fourth Proportional to 1,522.92, 2,102.88 and 933.78

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Solution

The fourth proportional to 1,522.92, 2,102.88 and 933.78 is: 1,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.92 : 2,102.88 = 933.78 : x
  2. Step 2: Convert to fraction form
    1,522.92/2,102.88 = 933.78/x
  3. Step 3: Cross multiply
    1,522.92x = 2,102.88 × 933.78
  4. Step 4: Simplify right side
    1,522.92x = 1,963,627.29
  5. Step 5: Solve for x
    x = 1,963,627.29/1,522.92
  6. Step 6: Final answer
    x = 1,289.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.