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Finding the Fourth Proportional to 1,598.43, 2,205.86 and 935.67

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Solution

The fourth proportional to 1,598.43, 2,205.86 and 935.67 is: 1,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.43 : 2,205.86 = 935.67 : x
  2. Step 2: Convert to fraction form
    1,598.43/2,205.86 = 935.67/x
  3. Step 3: Cross multiply
    1,598.43x = 2,205.86 × 935.67
  4. Step 4: Simplify right side
    1,598.43x = 2,063,952.35
  5. Step 5: Solve for x
    x = 2,063,952.35/1,598.43
  6. Step 6: Final answer
    x = 1,291.24

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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.