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Finding the Fourth Proportional to 1,592.69, 2,197.91 and 894.07

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Solution

The fourth proportional to 1,592.69, 2,197.91 and 894.07 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.69 : 2,197.91 = 894.07 : x
  2. Step 2: Convert to fraction form
    1,592.69/2,197.91 = 894.07/x
  3. Step 3: Cross multiply
    1,592.69x = 2,197.91 × 894.07
  4. Step 4: Simplify right side
    1,592.69x = 1,965,085.39
  5. Step 5: Solve for x
    x = 1,965,085.39/1,592.69
  6. Step 6: Final answer
    x = 1,233.82

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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.