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Finding the Fourth Proportional to 1,302.06, 1,795.86 and 1,197.54

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Solution

The fourth proportional to 1,302.06, 1,795.86 and 1,197.54 is: 1,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.06 : 1,795.86 = 1,197.54 : x
  2. Step 2: Convert to fraction form
    1,302.06/1,795.86 = 1,197.54/x
  3. Step 3: Cross multiply
    1,302.06x = 1,795.86 × 1,197.54
  4. Step 4: Simplify right side
    1,302.06x = 2,150,614.18
  5. Step 5: Solve for x
    x = 2,150,614.18/1,302.06
  6. Step 6: Final answer
    x = 1,651.70

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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.