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Finding the Fourth Proportional to 2,688.47, 4,027.93 and 2,294.46

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Solution

The fourth proportional to 2,688.47, 4,027.93 and 2,294.46 is: 3,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.47 : 4,027.93 = 2,294.46 : x
  2. Step 2: Convert to fraction form
    2,688.47/4,027.93 = 2,294.46/x
  3. Step 3: Cross multiply
    2,688.47x = 4,027.93 × 2,294.46
  4. Step 4: Simplify right side
    2,688.47x = 9,241,918.53
  5. Step 5: Solve for x
    x = 9,241,918.53/2,688.47
  6. Step 6: Final answer
    x = 3,437.61

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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.