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Finding the Fourth Proportional to 3,145.73, 4,718.60 and 1,296.51

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Solution

The fourth proportional to 3,145.73, 4,718.60 and 1,296.51 is: 1,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.73 : 4,718.60 = 1,296.51 : x
  2. Step 2: Convert to fraction form
    3,145.73/4,718.60 = 1,296.51/x
  3. Step 3: Cross multiply
    3,145.73x = 4,718.60 × 1,296.51
  4. Step 4: Simplify right side
    3,145.73x = 6,117,712.09
  5. Step 5: Solve for x
    x = 6,117,712.09/3,145.73
  6. Step 6: Final answer
    x = 1,944.77

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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.