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Finding the Fourth Proportional to 1,883.93, 2,825.92 and 896.85

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Solution

The fourth proportional to 1,883.93, 2,825.92 and 896.85 is: 1,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.93 : 2,825.92 = 896.85 : x
  2. Step 2: Convert to fraction form
    1,883.93/2,825.92 = 896.85/x
  3. Step 3: Cross multiply
    1,883.93x = 2,825.92 × 896.85
  4. Step 4: Simplify right side
    1,883.93x = 2,534,426.35
  5. Step 5: Solve for x
    x = 2,534,426.35/1,883.93
  6. Step 6: Final answer
    x = 1,345.29

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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.