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Finding the Fourth Proportional to 1,578.77, 2,369.37 and 1,271.37

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Solution

The fourth proportional to 1,578.77, 2,369.37 and 1,271.37 is: 1,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.77 : 2,369.37 = 1,271.37 : x
  2. Step 2: Convert to fraction form
    1,578.77/2,369.37 = 1,271.37/x
  3. Step 3: Cross multiply
    1,578.77x = 2,369.37 × 1,271.37
  4. Step 4: Simplify right side
    1,578.77x = 3,012,345.94
  5. Step 5: Solve for x
    x = 3,012,345.94/1,578.77
  6. Step 6: Final answer
    x = 1,908.03

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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.