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Finding the Fourth Proportional to 2,292.92, 3,431.16 and 1,985.82

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Solution

The fourth proportional to 2,292.92, 3,431.16 and 1,985.82 is: 2,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.92 : 3,431.16 = 1,985.82 : x
  2. Step 2: Convert to fraction form
    2,292.92/3,431.16 = 1,985.82/x
  3. Step 3: Cross multiply
    2,292.92x = 3,431.16 × 1,985.82
  4. Step 4: Simplify right side
    2,292.92x = 6,813,666.15
  5. Step 5: Solve for x
    x = 6,813,666.15/2,292.92
  6. Step 6: Final answer
    x = 2,971.62

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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.