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Finding the Fourth Proportional to 2,499.66, 3,751.11 and 1,406.16

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Solution

The fourth proportional to 2,499.66, 3,751.11 and 1,406.16 is: 2,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.66 : 3,751.11 = 1,406.16 : x
  2. Step 2: Convert to fraction form
    2,499.66/3,751.11 = 1,406.16/x
  3. Step 3: Cross multiply
    2,499.66x = 3,751.11 × 1,406.16
  4. Step 4: Simplify right side
    2,499.66x = 5,274,660.84
  5. Step 5: Solve for x
    x = 5,274,660.84/2,499.66
  6. Step 6: Final answer
    x = 2,110.15

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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.