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Finding the Fourth Proportional to 1,785.17, 2,679.08 and 1,771.61

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Solution

The fourth proportional to 1,785.17, 2,679.08 and 1,771.61 is: 2,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.17 : 2,679.08 = 1,771.61 : x
  2. Step 2: Convert to fraction form
    1,785.17/2,679.08 = 1,771.61/x
  3. Step 3: Cross multiply
    1,785.17x = 2,679.08 × 1,771.61
  4. Step 4: Simplify right side
    1,785.17x = 4,746,262.67
  5. Step 5: Solve for x
    x = 4,746,262.67/1,785.17
  6. Step 6: Final answer
    x = 2,658.71

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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.