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Finding the Fourth Proportional to 2,466.64, 3,699.96 and 1,232.81

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Solution

The fourth proportional to 2,466.64, 3,699.96 and 1,232.81 is: 1,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.64 : 3,699.96 = 1,232.81 : x
  2. Step 2: Convert to fraction form
    2,466.64/3,699.96 = 1,232.81/x
  3. Step 3: Cross multiply
    2,466.64x = 3,699.96 × 1,232.81
  4. Step 4: Simplify right side
    2,466.64x = 4,561,345.37
  5. Step 5: Solve for x
    x = 4,561,345.37/2,466.64
  6. Step 6: Final answer
    x = 1,849.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.