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Finding the Fourth Proportional to 1,293.72, 1,785.96 and 1,210.83

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Solution

The fourth proportional to 1,293.72, 1,785.96 and 1,210.83 is: 1,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.72 : 1,785.96 = 1,210.83 : x
  2. Step 2: Convert to fraction form
    1,293.72/1,785.96 = 1,210.83/x
  3. Step 3: Cross multiply
    1,293.72x = 1,785.96 × 1,210.83
  4. Step 4: Simplify right side
    1,293.72x = 2,162,493.95
  5. Step 5: Solve for x
    x = 2,162,493.95/1,293.72
  6. Step 6: Final answer
    x = 1,671.53

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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.