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Finding the Fourth Proportional to 2,776.60, 4,154.47 and 1,661.92

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Solution

The fourth proportional to 2,776.60, 4,154.47 and 1,661.92 is: 2,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.60 : 4,154.47 = 1,661.92 : x
  2. Step 2: Convert to fraction form
    2,776.60/4,154.47 = 1,661.92/x
  3. Step 3: Cross multiply
    2,776.60x = 4,154.47 × 1,661.92
  4. Step 4: Simplify right side
    2,776.60x = 6,904,396.78
  5. Step 5: Solve for x
    x = 6,904,396.78/2,776.60
  6. Step 6: Final answer
    x = 2,486.64

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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.