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Finding the Fourth Proportional to 2,342.48, 3,235.02 and 1,945.58

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Solution

The fourth proportional to 2,342.48, 3,235.02 and 1,945.58 is: 2,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.48 : 3,235.02 = 1,945.58 : x
  2. Step 2: Convert to fraction form
    2,342.48/3,235.02 = 1,945.58/x
  3. Step 3: Cross multiply
    2,342.48x = 3,235.02 × 1,945.58
  4. Step 4: Simplify right side
    2,342.48x = 6,293,990.21
  5. Step 5: Solve for x
    x = 6,293,990.21/2,342.48
  6. Step 6: Final answer
    x = 2,686.89

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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.