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Finding the Fourth Proportional to 2,343.68, 3,507.52 and 2,005.76

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Solution

The fourth proportional to 2,343.68, 3,507.52 and 2,005.76 is: 3,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.68 : 3,507.52 = 2,005.76 : x
  2. Step 2: Convert to fraction form
    2,343.68/3,507.52 = 2,005.76/x
  3. Step 3: Cross multiply
    2,343.68x = 3,507.52 × 2,005.76
  4. Step 4: Simplify right side
    2,343.68x = 7,035,243.32
  5. Step 5: Solve for x
    x = 7,035,243.32/2,343.68
  6. Step 6: Final answer
    x = 3,001.79

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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.