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Finding the Fourth Proportional to 1,633.55, 2,254.34 and 935.15

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Solution

The fourth proportional to 1,633.55, 2,254.34 and 935.15 is: 1,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.55 : 2,254.34 = 935.15 : x
  2. Step 2: Convert to fraction form
    1,633.55/2,254.34 = 935.15/x
  3. Step 3: Cross multiply
    1,633.55x = 2,254.34 × 935.15
  4. Step 4: Simplify right side
    1,633.55x = 2,108,137.12
  5. Step 5: Solve for x
    x = 2,108,137.12/1,633.55
  6. Step 6: Final answer
    x = 1,290.53

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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.