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Finding the Fourth Proportional to 2,409.07, 3,611.64 and 1,073.89

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Solution

The fourth proportional to 2,409.07, 3,611.64 and 1,073.89 is: 1,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.07 : 3,611.64 = 1,073.89 : x
  2. Step 2: Convert to fraction form
    2,409.07/3,611.64 = 1,073.89/x
  3. Step 3: Cross multiply
    2,409.07x = 3,611.64 × 1,073.89
  4. Step 4: Simplify right side
    2,409.07x = 3,878,486.02
  5. Step 5: Solve for x
    x = 3,878,486.02/2,409.07
  6. Step 6: Final answer
    x = 1,609.95

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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.