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Finding the Fourth Proportional to 2,263.69, 3,123.93 and 1,269.19

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Solution

The fourth proportional to 2,263.69, 3,123.93 and 1,269.19 is: 1,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.69 : 3,123.93 = 1,269.19 : x
  2. Step 2: Convert to fraction form
    2,263.69/3,123.93 = 1,269.19/x
  3. Step 3: Cross multiply
    2,263.69x = 3,123.93 × 1,269.19
  4. Step 4: Simplify right side
    2,263.69x = 3,964,860.72
  5. Step 5: Solve for x
    x = 3,964,860.72/2,263.69
  6. Step 6: Final answer
    x = 1,751.50

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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.