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Finding the Fourth Proportional to 2,223.59, 3,068.40 and 1,228.86

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Solution

The fourth proportional to 2,223.59, 3,068.40 and 1,228.86 is: 1,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.59 : 3,068.40 = 1,228.86 : x
  2. Step 2: Convert to fraction form
    2,223.59/3,068.40 = 1,228.86/x
  3. Step 3: Cross multiply
    2,223.59x = 3,068.40 × 1,228.86
  4. Step 4: Simplify right side
    2,223.59x = 3,770,634.02
  5. Step 5: Solve for x
    x = 3,770,634.02/2,223.59
  6. Step 6: Final answer
    x = 1,695.74

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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.