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Finding the Fourth Proportional to 1,597.96, 2,205.16 and 935.20

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Solution

The fourth proportional to 1,597.96, 2,205.16 and 935.20 is: 1,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.96 : 2,205.16 = 935.20 : x
  2. Step 2: Convert to fraction form
    1,597.96/2,205.16 = 935.20/x
  3. Step 3: Cross multiply
    1,597.96x = 2,205.16 × 935.20
  4. Step 4: Simplify right side
    1,597.96x = 2,062,265.63
  5. Step 5: Solve for x
    x = 2,062,265.63/1,597.96
  6. Step 6: Final answer
    x = 1,290.56

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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.