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Finding the Fourth Proportional to 1,633.81, 2,254.70 and 935.19

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Solution

The fourth proportional to 1,633.81, 2,254.70 and 935.19 is: 1,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.81 : 2,254.70 = 935.19 : x
  2. Step 2: Convert to fraction form
    1,633.81/2,254.70 = 935.19/x
  3. Step 3: Cross multiply
    1,633.81x = 2,254.70 × 935.19
  4. Step 4: Simplify right side
    1,633.81x = 2,108,572.89
  5. Step 5: Solve for x
    x = 2,108,572.89/1,633.81
  6. Step 6: Final answer
    x = 1,290.59

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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.