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Finding the Fourth Proportional to 2,465.94, 3,691.73 and 1,293.17

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Solution

The fourth proportional to 2,465.94, 3,691.73 and 1,293.17 is: 1,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.94 : 3,691.73 = 1,293.17 : x
  2. Step 2: Convert to fraction form
    2,465.94/3,691.73 = 1,293.17/x
  3. Step 3: Cross multiply
    2,465.94x = 3,691.73 × 1,293.17
  4. Step 4: Simplify right side
    2,465.94x = 4,774,011.98
  5. Step 5: Solve for x
    x = 4,774,011.98/2,465.94
  6. Step 6: Final answer
    x = 1,935.98

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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.