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Finding the Fourth Proportional to 2,219.86, 3,041.16 and 2,136.77

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Solution

The fourth proportional to 2,219.86, 3,041.16 and 2,136.77 is: 2,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.86 : 3,041.16 = 2,136.77 : x
  2. Step 2: Convert to fraction form
    2,219.86/3,041.16 = 2,136.77/x
  3. Step 3: Cross multiply
    2,219.86x = 3,041.16 × 2,136.77
  4. Step 4: Simplify right side
    2,219.86x = 6,498,244.25
  5. Step 5: Solve for x
    x = 6,498,244.25/2,219.86
  6. Step 6: Final answer
    x = 2,927.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.