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Finding the Fourth Proportional to 2,095.50, 2,892.06 and 1,211.16

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Solution

The fourth proportional to 2,095.50, 2,892.06 and 1,211.16 is: 1,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.50 : 2,892.06 = 1,211.16 : x
  2. Step 2: Convert to fraction form
    2,095.50/2,892.06 = 1,211.16/x
  3. Step 3: Cross multiply
    2,095.50x = 2,892.06 × 1,211.16
  4. Step 4: Simplify right side
    2,095.50x = 3,502,747.39
  5. Step 5: Solve for x
    x = 3,502,747.39/2,095.50
  6. Step 6: Final answer
    x = 1,671.56

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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.