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Finding the Fourth Proportional to 1,785.69, 2,474.76 and 1,758.35

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Solution

The fourth proportional to 1,785.69, 2,474.76 and 1,758.35 is: 2,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.69 : 2,474.76 = 1,758.35 : x
  2. Step 2: Convert to fraction form
    1,785.69/2,474.76 = 1,758.35/x
  3. Step 3: Cross multiply
    1,785.69x = 2,474.76 × 1,758.35
  4. Step 4: Simplify right side
    1,785.69x = 4,351,494.25
  5. Step 5: Solve for x
    x = 4,351,494.25/1,785.69
  6. Step 6: Final answer
    x = 2,436.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.