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Finding the Fourth Proportional to 2,407.62, 3,611.03 and 947.19

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Solution

The fourth proportional to 2,407.62, 3,611.03 and 947.19 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.62 : 3,611.03 = 947.19 : x
  2. Step 2: Convert to fraction form
    2,407.62/3,611.03 = 947.19/x
  3. Step 3: Cross multiply
    2,407.62x = 3,611.03 × 947.19
  4. Step 4: Simplify right side
    2,407.62x = 3,420,326.77
  5. Step 5: Solve for x
    x = 3,420,326.77/2,407.62
  6. Step 6: Final answer
    x = 1,420.63

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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.