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Finding the Fourth Proportional to 1,369.91, 1,890.74 and 873.11

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Solution

The fourth proportional to 1,369.91, 1,890.74 and 873.11 is: 1,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.91 : 1,890.74 = 873.11 : x
  2. Step 2: Convert to fraction form
    1,369.91/1,890.74 = 873.11/x
  3. Step 3: Cross multiply
    1,369.91x = 1,890.74 × 873.11
  4. Step 4: Simplify right side
    1,369.91x = 1,650,830.91
  5. Step 5: Solve for x
    x = 1,650,830.91/1,369.91
  6. Step 6: Final answer
    x = 1,205.06

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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.