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Finding the Fourth Proportional to 2,965.70, 4,446.16 and 2,038.50

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Solution

The fourth proportional to 2,965.70, 4,446.16 and 2,038.50 is: 3,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.70 : 4,446.16 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    2,965.70/4,446.16 = 2,038.50/x
  3. Step 3: Cross multiply
    2,965.70x = 4,446.16 × 2,038.50
  4. Step 4: Simplify right side
    2,965.70x = 9,063,497.16
  5. Step 5: Solve for x
    x = 9,063,497.16/2,965.70
  6. Step 6: Final answer
    x = 3,056.11

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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.