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Finding the Fourth Proportional to 3,068.35, 4,234.47 and 1,809.46

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Solution

The fourth proportional to 3,068.35, 4,234.47 and 1,809.46 is: 2,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.35 : 4,234.47 = 1,809.46 : x
  2. Step 2: Convert to fraction form
    3,068.35/4,234.47 = 1,809.46/x
  3. Step 3: Cross multiply
    3,068.35x = 4,234.47 × 1,809.46
  4. Step 4: Simplify right side
    3,068.35x = 7,662,104.09
  5. Step 5: Solve for x
    x = 7,662,104.09/3,068.35
  6. Step 6: Final answer
    x = 2,497.14

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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.