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Finding the Fourth Proportional to 1,789.16, 2,683.64 and 556.68

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Solution

The fourth proportional to 1,789.16, 2,683.64 and 556.68 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.16 : 2,683.64 = 556.68 : x
  2. Step 2: Convert to fraction form
    1,789.16/2,683.64 = 556.68/x
  3. Step 3: Cross multiply
    1,789.16x = 2,683.64 × 556.68
  4. Step 4: Simplify right side
    1,789.16x = 1,493,925.93
  5. Step 5: Solve for x
    x = 1,493,925.93/1,789.16
  6. Step 6: Final answer
    x = 834.99

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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.