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Finding the Fourth Proportional to 1,598.42, 2,205.84 and 935.12

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Solution

The fourth proportional to 1,598.42, 2,205.84 and 935.12 is: 1,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.42 : 2,205.84 = 935.12 : x
  2. Step 2: Convert to fraction form
    1,598.42/2,205.84 = 935.12/x
  3. Step 3: Cross multiply
    1,598.42x = 2,205.84 × 935.12
  4. Step 4: Simplify right side
    1,598.42x = 2,062,725.10
  5. Step 5: Solve for x
    x = 2,062,725.10/1,598.42
  6. Step 6: Final answer
    x = 1,290.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.