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Finding the Fourth Proportional to 2,223.58, 3,068.55 and 1,228.86

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Solution

The fourth proportional to 2,223.58, 3,068.55 and 1,228.86 is: 1,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.58 : 3,068.55 = 1,228.86 : x
  2. Step 2: Convert to fraction form
    2,223.58/3,068.55 = 1,228.86/x
  3. Step 3: Cross multiply
    2,223.58x = 3,068.55 × 1,228.86
  4. Step 4: Simplify right side
    2,223.58x = 3,770,818.35
  5. Step 5: Solve for x
    x = 3,770,818.35/2,223.58
  6. Step 6: Final answer
    x = 1,695.83

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