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Finding the Fourth Proportional to 1,369.15, 2,053.62 and 820.10

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Solution

The fourth proportional to 1,369.15, 2,053.62 and 820.10 is: 1,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.15 : 2,053.62 = 820.10 : x
  2. Step 2: Convert to fraction form
    1,369.15/2,053.62 = 820.10/x
  3. Step 3: Cross multiply
    1,369.15x = 2,053.62 × 820.10
  4. Step 4: Simplify right side
    1,369.15x = 1,684,178.90
  5. Step 5: Solve for x
    x = 1,684,178.90/1,369.15
  6. Step 6: Final answer
    x = 1,230.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.