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Finding the Fourth Proportional to 1,578.93, 2,365.15 and 1,269.11

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Solution

The fourth proportional to 1,578.93, 2,365.15 and 1,269.11 is: 1,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.93 : 2,365.15 = 1,269.11 : x
  2. Step 2: Convert to fraction form
    1,578.93/2,365.15 = 1,269.11/x
  3. Step 3: Cross multiply
    1,578.93x = 2,365.15 × 1,269.11
  4. Step 4: Simplify right side
    1,578.93x = 3,001,635.52
  5. Step 5: Solve for x
    x = 3,001,635.52/1,578.93
  6. Step 6: Final answer
    x = 1,901.06

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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.