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Finding the Fourth Proportional to 1,785.76, 2,465.19 and 1,196.68

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Solution

The fourth proportional to 1,785.76, 2,465.19 and 1,196.68 is: 1,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.76 : 2,465.19 = 1,196.68 : x
  2. Step 2: Convert to fraction form
    1,785.76/2,465.19 = 1,196.68/x
  3. Step 3: Cross multiply
    1,785.76x = 2,465.19 × 1,196.68
  4. Step 4: Simplify right side
    1,785.76x = 2,950,043.57
  5. Step 5: Solve for x
    x = 2,950,043.57/1,785.76
  6. Step 6: Final answer
    x = 1,651.98

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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.