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Finding the Fourth Proportional to 2,265.63, 3,396.06 and 1,225.35

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Solution

The fourth proportional to 2,265.63, 3,396.06 and 1,225.35 is: 1,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.63 : 3,396.06 = 1,225.35 : x
  2. Step 2: Convert to fraction form
    2,265.63/3,396.06 = 1,225.35/x
  3. Step 3: Cross multiply
    2,265.63x = 3,396.06 × 1,225.35
  4. Step 4: Simplify right side
    2,265.63x = 4,161,362.12
  5. Step 5: Solve for x
    x = 4,161,362.12/2,265.63
  6. Step 6: Final answer
    x = 1,836.74

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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.