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Finding the Fourth Proportional to 2,265.94, 3,396 and 1,972.18

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Solution

The fourth proportional to 2,265.94, 3,396 and 1,972.18 is: 2,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.94 : 3,396 = 1,972.18 : x
  2. Step 2: Convert to fraction form
    2,265.94/3,396 = 1,972.18/x
  3. Step 3: Cross multiply
    2,265.94x = 3,396 × 1,972.18
  4. Step 4: Simplify right side
    2,265.94x = 6,697,523.28
  5. Step 5: Solve for x
    x = 6,697,523.28/2,265.94
  6. Step 6: Final answer
    x = 2,955.74

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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.