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Finding the Fourth Proportional to 4,102.68, 6,152.58 and 1,792.92

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Solution

The fourth proportional to 4,102.68, 6,152.58 and 1,792.92 is: 2,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.68 : 6,152.58 = 1,792.92 : x
  2. Step 2: Convert to fraction form
    4,102.68/6,152.58 = 1,792.92/x
  3. Step 3: Cross multiply
    4,102.68x = 6,152.58 × 1,792.92
  4. Step 4: Simplify right side
    4,102.68x = 11,031,083.73
  5. Step 5: Solve for x
    x = 11,031,083.73/4,102.68
  6. Step 6: Final answer
    x = 2,688.75

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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.