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Finding the Fourth Proportional to 1,598.30, 2,205.16 and 935.15

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Solution

The fourth proportional to 1,598.30, 2,205.16 and 935.15 is: 1,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.30 : 2,205.16 = 935.15 : x
  2. Step 2: Convert to fraction form
    1,598.30/2,205.16 = 935.15/x
  3. Step 3: Cross multiply
    1,598.30x = 2,205.16 × 935.15
  4. Step 4: Simplify right side
    1,598.30x = 2,062,142.01
  5. Step 5: Solve for x
    x = 2,062,142.01/1,598.30
  6. Step 6: Final answer
    x = 1,290.21

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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.