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Finding the Fourth Proportional to 2,688.36, 4,029.66 and 931.68

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Solution

The fourth proportional to 2,688.36, 4,029.66 and 931.68 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.36 : 4,029.66 = 931.68 : x
  2. Step 2: Convert to fraction form
    2,688.36/4,029.66 = 931.68/x
  3. Step 3: Cross multiply
    2,688.36x = 4,029.66 × 931.68
  4. Step 4: Simplify right side
    2,688.36x = 3,754,353.63
  5. Step 5: Solve for x
    x = 3,754,353.63/2,688.36
  6. Step 6: Final answer
    x = 1,396.52

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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.