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Finding the Fourth Proportional to 2,965.84, 4,093.12 and 1,639.88

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Solution

The fourth proportional to 2,965.84, 4,093.12 and 1,639.88 is: 2,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.84 : 4,093.12 = 1,639.88 : x
  2. Step 2: Convert to fraction form
    2,965.84/4,093.12 = 1,639.88/x
  3. Step 3: Cross multiply
    2,965.84x = 4,093.12 × 1,639.88
  4. Step 4: Simplify right side
    2,965.84x = 6,712,225.63
  5. Step 5: Solve for x
    x = 6,712,225.63/2,965.84
  6. Step 6: Final answer
    x = 2,263.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.