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Finding the Fourth Proportional to 2,389.69, 3,296.34 and 1,503.95

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Solution

The fourth proportional to 2,389.69, 3,296.34 and 1,503.95 is: 2,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.69 : 3,296.34 = 1,503.95 : x
  2. Step 2: Convert to fraction form
    2,389.69/3,296.34 = 1,503.95/x
  3. Step 3: Cross multiply
    2,389.69x = 3,296.34 × 1,503.95
  4. Step 4: Simplify right side
    2,389.69x = 4,957,538.78
  5. Step 5: Solve for x
    x = 4,957,538.78/2,389.69
  6. Step 6: Final answer
    x = 2,074.56

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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.