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Finding the Fourth Proportional to 2,302.92, 3,455.40 and 1,207.02

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Solution

The fourth proportional to 2,302.92, 3,455.40 and 1,207.02 is: 1,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.92 : 3,455.40 = 1,207.02 : x
  2. Step 2: Convert to fraction form
    2,302.92/3,455.40 = 1,207.02/x
  3. Step 3: Cross multiply
    2,302.92x = 3,455.40 × 1,207.02
  4. Step 4: Simplify right side
    2,302.92x = 4,170,745.55
  5. Step 5: Solve for x
    x = 4,170,745.55/2,302.92
  6. Step 6: Final answer
    x = 1,811.07

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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.