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Finding the Fourth Proportional to 2,219.86, 3,063.59 and 1,225.23

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Solution

The fourth proportional to 2,219.86, 3,063.59 and 1,225.23 is: 1,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.86 : 3,063.59 = 1,225.23 : x
  2. Step 2: Convert to fraction form
    2,219.86/3,063.59 = 1,225.23/x
  3. Step 3: Cross multiply
    2,219.86x = 3,063.59 × 1,225.23
  4. Step 4: Simplify right side
    2,219.86x = 3,753,602.38
  5. Step 5: Solve for x
    x = 3,753,602.38/2,219.86
  6. Step 6: Final answer
    x = 1,690.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.