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Finding the Fourth Proportional to 2,409.03, 3,611.40 and 947.08

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Solution

The fourth proportional to 2,409.03, 3,611.40 and 947.08 is: 1,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.03 : 3,611.40 = 947.08 : x
  2. Step 2: Convert to fraction form
    2,409.03/3,611.40 = 947.08/x
  3. Step 3: Cross multiply
    2,409.03x = 3,611.40 × 947.08
  4. Step 4: Simplify right side
    2,409.03x = 3,420,284.71
  5. Step 5: Solve for x
    x = 3,420,284.71/2,409.03
  6. Step 6: Final answer
    x = 1,419.78

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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.