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Finding the Fourth Proportional to 2,740.57, 4,109.39 and 1,423

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Solution

The fourth proportional to 2,740.57, 4,109.39 and 1,423 is: 2,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.57 : 4,109.39 = 1,423 : x
  2. Step 2: Convert to fraction form
    2,740.57/4,109.39 = 1,423/x
  3. Step 3: Cross multiply
    2,740.57x = 4,109.39 × 1,423
  4. Step 4: Simplify right side
    2,740.57x = 5,847,661.97
  5. Step 5: Solve for x
    x = 5,847,661.97/2,740.57
  6. Step 6: Final answer
    x = 2,133.74

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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.