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Finding the Fourth Proportional to 2,578.94, 3,868.76 and 935.04

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Solution

The fourth proportional to 2,578.94, 3,868.76 and 935.04 is: 1,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.94 : 3,868.76 = 935.04 : x
  2. Step 2: Convert to fraction form
    2,578.94/3,868.76 = 935.04/x
  3. Step 3: Cross multiply
    2,578.94x = 3,868.76 × 935.04
  4. Step 4: Simplify right side
    2,578.94x = 3,617,462.20
  5. Step 5: Solve for x
    x = 3,617,462.20/2,578.94
  6. Step 6: Final answer
    x = 1,402.69

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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.