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Finding the Fourth Proportional to 1,598.67, 2,206.04 and 890.43

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Solution

The fourth proportional to 1,598.67, 2,206.04 and 890.43 is: 1,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.67 : 2,206.04 = 890.43 : x
  2. Step 2: Convert to fraction form
    1,598.67/2,206.04 = 890.43/x
  3. Step 3: Cross multiply
    1,598.67x = 2,206.04 × 890.43
  4. Step 4: Simplify right side
    1,598.67x = 1,964,311.47
  5. Step 5: Solve for x
    x = 1,964,311.47/1,598.67
  6. Step 6: Final answer
    x = 1,228.72

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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.