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Finding the Fourth Proportional to 2,284.86, 3,428.10 and 986.16

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Solution

The fourth proportional to 2,284.86, 3,428.10 and 986.16 is: 1,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.86 : 3,428.10 = 986.16 : x
  2. Step 2: Convert to fraction form
    2,284.86/3,428.10 = 986.16/x
  3. Step 3: Cross multiply
    2,284.86x = 3,428.10 × 986.16
  4. Step 4: Simplify right side
    2,284.86x = 3,380,655.10
  5. Step 5: Solve for x
    x = 3,380,655.10/2,284.86
  6. Step 6: Final answer
    x = 1,479.59

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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.