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Finding the Fourth Proportional to 1,598.49, 2,205.55 and 1,008.67

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Solution

The fourth proportional to 1,598.49, 2,205.55 and 1,008.67 is: 1,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,205.55 = 1,008.67 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,205.55 = 1,008.67/x
  3. Step 3: Cross multiply
    1,598.49x = 2,205.55 × 1,008.67
  4. Step 4: Simplify right side
    1,598.49x = 2,224,672.12
  5. Step 5: Solve for x
    x = 2,224,672.12/1,598.49
  6. Step 6: Final answer
    x = 1,391.73

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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.