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Finding the Fourth Proportional to 2,475.51, 3,713.90 and 744.09

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Solution

The fourth proportional to 2,475.51, 3,713.90 and 744.09 is: 1,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.51 : 3,713.90 = 744.09 : x
  2. Step 2: Convert to fraction form
    2,475.51/3,713.90 = 744.09/x
  3. Step 3: Cross multiply
    2,475.51x = 3,713.90 × 744.09
  4. Step 4: Simplify right side
    2,475.51x = 2,763,472.13
  5. Step 5: Solve for x
    x = 2,763,472.13/2,475.51
  6. Step 6: Final answer
    x = 1,116.32

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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.