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Finding the Fourth Proportional to 1,520.13, 2,097.61 and 890.62

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Solution

The fourth proportional to 1,520.13, 2,097.61 and 890.62 is: 1,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.13 : 2,097.61 = 890.62 : x
  2. Step 2: Convert to fraction form
    1,520.13/2,097.61 = 890.62/x
  3. Step 3: Cross multiply
    1,520.13x = 2,097.61 × 890.62
  4. Step 4: Simplify right side
    1,520.13x = 1,868,173.42
  5. Step 5: Solve for x
    x = 1,868,173.42/1,520.13
  6. Step 6: Final answer
    x = 1,228.96

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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.