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Finding the Fourth Proportional to 2,935.84, 4,402.14 and 1,205.68

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Solution

The fourth proportional to 2,935.84, 4,402.14 and 1,205.68 is: 1,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.84 : 4,402.14 = 1,205.68 : x
  2. Step 2: Convert to fraction form
    2,935.84/4,402.14 = 1,205.68/x
  3. Step 3: Cross multiply
    2,935.84x = 4,402.14 × 1,205.68
  4. Step 4: Simplify right side
    2,935.84x = 5,307,572.16
  5. Step 5: Solve for x
    x = 5,307,572.16/2,935.84
  6. Step 6: Final answer
    x = 1,807.85

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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.