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Finding the Fourth Proportional to 1,882.05, 2,822.59 and 894.59

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Solution

The fourth proportional to 1,882.05, 2,822.59 and 894.59 is: 1,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.05 : 2,822.59 = 894.59 : x
  2. Step 2: Convert to fraction form
    1,882.05/2,822.59 = 894.59/x
  3. Step 3: Cross multiply
    1,882.05x = 2,822.59 × 894.59
  4. Step 4: Simplify right side
    1,882.05x = 2,525,060.79
  5. Step 5: Solve for x
    x = 2,525,060.79/1,882.05
  6. Step 6: Final answer
    x = 1,341.65

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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.