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Finding the Fourth Proportional to 2,912.60, 4,019.00 and 1,733.45

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Solution

The fourth proportional to 2,912.60, 4,019.00 and 1,733.45 is: 2,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.60 : 4,019.00 = 1,733.45 : x
  2. Step 2: Convert to fraction form
    2,912.60/4,019.00 = 1,733.45/x
  3. Step 3: Cross multiply
    2,912.60x = 4,019.00 × 1,733.45
  4. Step 4: Simplify right side
    2,912.60x = 6,966,706.79
  5. Step 5: Solve for x
    x = 6,966,706.79/2,912.60
  6. Step 6: Final answer
    x = 2,391.92

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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.