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Finding the Fourth Proportional to 2,740.68, 4,091.78 and 2,482.40

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Solution

The fourth proportional to 2,740.68, 4,091.78 and 2,482.40 is: 3,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.68 : 4,091.78 = 2,482.40 : x
  2. Step 2: Convert to fraction form
    2,740.68/4,091.78 = 2,482.40/x
  3. Step 3: Cross multiply
    2,740.68x = 4,091.78 × 2,482.40
  4. Step 4: Simplify right side
    2,740.68x = 10,157,434.67
  5. Step 5: Solve for x
    x = 10,157,434.67/2,740.68
  6. Step 6: Final answer
    x = 3,706.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.