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Finding the Fourth Proportional to 2,299.69, 3,174.65 and 1,355.19

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Solution

The fourth proportional to 2,299.69, 3,174.65 and 1,355.19 is: 1,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.69 : 3,174.65 = 1,355.19 : x
  2. Step 2: Convert to fraction form
    2,299.69/3,174.65 = 1,355.19/x
  3. Step 3: Cross multiply
    2,299.69x = 3,174.65 × 1,355.19
  4. Step 4: Simplify right side
    2,299.69x = 4,302,253.93
  5. Step 5: Solve for x
    x = 4,302,253.93/2,299.69
  6. Step 6: Final answer
    x = 1,870.80

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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.