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Finding the Fourth Proportional to 2,785.41, 4,169.88 and 1,857.76

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Solution

The fourth proportional to 2,785.41, 4,169.88 and 1,857.76 is: 2,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.41 : 4,169.88 = 1,857.76 : x
  2. Step 2: Convert to fraction form
    2,785.41/4,169.88 = 1,857.76/x
  3. Step 3: Cross multiply
    2,785.41x = 4,169.88 × 1,857.76
  4. Step 4: Simplify right side
    2,785.41x = 7,746,625.84
  5. Step 5: Solve for x
    x = 7,746,625.84/2,785.41
  6. Step 6: Final answer
    x = 2,781.14

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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.