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Finding the Fourth Proportional to 2,740.71, 3,782.16 and 1,561.79

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Solution

The fourth proportional to 2,740.71, 3,782.16 and 1,561.79 is: 2,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.71 : 3,782.16 = 1,561.79 : x
  2. Step 2: Convert to fraction form
    2,740.71/3,782.16 = 1,561.79/x
  3. Step 3: Cross multiply
    2,740.71x = 3,782.16 × 1,561.79
  4. Step 4: Simplify right side
    2,740.71x = 5,906,920.76
  5. Step 5: Solve for x
    x = 5,906,920.76/2,740.71
  6. Step 6: Final answer
    x = 2,155.25

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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.