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Finding the Fourth Proportional to 2,740.86, 4,111.47 and 986.22

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Solution

The fourth proportional to 2,740.86, 4,111.47 and 986.22 is: 1,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.86 : 4,111.47 = 986.22 : x
  2. Step 2: Convert to fraction form
    2,740.86/4,111.47 = 986.22/x
  3. Step 3: Cross multiply
    2,740.86x = 4,111.47 × 986.22
  4. Step 4: Simplify right side
    2,740.86x = 4,054,813.94
  5. Step 5: Solve for x
    x = 4,054,813.94/2,740.86
  6. Step 6: Final answer
    x = 1,479.39

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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.