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Finding the Fourth Proportional to 2,342.05, 3,495.99 and 2,046.47

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Solution

The fourth proportional to 2,342.05, 3,495.99 and 2,046.47 is: 3,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.05 : 3,495.99 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    2,342.05/3,495.99 = 2,046.47/x
  3. Step 3: Cross multiply
    2,342.05x = 3,495.99 × 2,046.47
  4. Step 4: Simplify right side
    2,342.05x = 7,154,438.66
  5. Step 5: Solve for x
    x = 7,154,438.66/2,342.05
  6. Step 6: Final answer
    x = 3,054.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.