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Finding the Fourth Proportional to 3,444.66, 5,169 and 1,364.86

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Solution

The fourth proportional to 3,444.66, 5,169 and 1,364.86 is: 2,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.66 : 5,169 = 1,364.86 : x
  2. Step 2: Convert to fraction form
    3,444.66/5,169 = 1,364.86/x
  3. Step 3: Cross multiply
    3,444.66x = 5,169 × 1,364.86
  4. Step 4: Simplify right side
    3,444.66x = 7,054,961.34
  5. Step 5: Solve for x
    x = 7,054,961.34/3,444.66
  6. Step 6: Final answer
    x = 2,048.09

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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.