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Finding the Fourth Proportional to 3,285.76, 4,926.40 and 1,232

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Solution

The fourth proportional to 3,285.76, 4,926.40 and 1,232 is: 1,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.76 : 4,926.40 = 1,232 : x
  2. Step 2: Convert to fraction form
    3,285.76/4,926.40 = 1,232/x
  3. Step 3: Cross multiply
    3,285.76x = 4,926.40 × 1,232
  4. Step 4: Simplify right side
    3,285.76x = 6,069,324.80
  5. Step 5: Solve for x
    x = 6,069,324.80/3,285.76
  6. Step 6: Final answer
    x = 1,847.16

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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.