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Finding the Fourth Proportional to 2,113.24, 3,170 and 726.64

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Solution

The fourth proportional to 2,113.24, 3,170 and 726.64 is: 1,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.24 : 3,170 = 726.64 : x
  2. Step 2: Convert to fraction form
    2,113.24/3,170 = 726.64/x
  3. Step 3: Cross multiply
    2,113.24x = 3,170 × 726.64
  4. Step 4: Simplify right side
    2,113.24x = 2,303,448.80
  5. Step 5: Solve for x
    x = 2,303,448.80/2,113.24
  6. Step 6: Final answer
    x = 1,090.01

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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.