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Finding the Fourth Proportional to 2,577.86, 3,870.39 and 1,329.51

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Solution

The fourth proportional to 2,577.86, 3,870.39 and 1,329.51 is: 1,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.86 : 3,870.39 = 1,329.51 : x
  2. Step 2: Convert to fraction form
    2,577.86/3,870.39 = 1,329.51/x
  3. Step 3: Cross multiply
    2,577.86x = 3,870.39 × 1,329.51
  4. Step 4: Simplify right side
    2,577.86x = 5,145,722.21
  5. Step 5: Solve for x
    x = 5,145,722.21/2,577.86
  6. Step 6: Final answer
    x = 1,996.13

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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.