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Finding the Fourth Proportional to 2,407.13, 3,611.36 and 927.02

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Solution

The fourth proportional to 2,407.13, 3,611.36 and 927.02 is: 1,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.13 : 3,611.36 = 927.02 : x
  2. Step 2: Convert to fraction form
    2,407.13/3,611.36 = 927.02/x
  3. Step 3: Cross multiply
    2,407.13x = 3,611.36 × 927.02
  4. Step 4: Simplify right side
    2,407.13x = 3,347,814.29
  5. Step 5: Solve for x
    x = 3,347,814.29/2,407.13
  6. Step 6: Final answer
    x = 1,390.79

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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.