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Finding the Fourth Proportional to 4,153.69, 6,230.49 and 1,232.02

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Solution

The fourth proportional to 4,153.69, 6,230.49 and 1,232.02 is: 1,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.69 : 6,230.49 = 1,232.02 : x
  2. Step 2: Convert to fraction form
    4,153.69/6,230.49 = 1,232.02/x
  3. Step 3: Cross multiply
    4,153.69x = 6,230.49 × 1,232.02
  4. Step 4: Simplify right side
    4,153.69x = 7,676,088.29
  5. Step 5: Solve for x
    x = 7,676,088.29/4,153.69
  6. Step 6: Final answer
    x = 1,848.02

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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.