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Finding the Fourth Proportional to 2,784.57, 4,176.04 and 935.47

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Solution

The fourth proportional to 2,784.57, 4,176.04 and 935.47 is: 1,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.57 : 4,176.04 = 935.47 : x
  2. Step 2: Convert to fraction form
    2,784.57/4,176.04 = 935.47/x
  3. Step 3: Cross multiply
    2,784.57x = 4,176.04 × 935.47
  4. Step 4: Simplify right side
    2,784.57x = 3,906,560.14
  5. Step 5: Solve for x
    x = 3,906,560.14/2,784.57
  6. Step 6: Final answer
    x = 1,402.93

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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.