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Finding the Fourth Proportional to 2,207.86, 3,312.70 and 1,112.54

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Solution

The fourth proportional to 2,207.86, 3,312.70 and 1,112.54 is: 1,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.86 : 3,312.70 = 1,112.54 : x
  2. Step 2: Convert to fraction form
    2,207.86/3,312.70 = 1,112.54/x
  3. Step 3: Cross multiply
    2,207.86x = 3,312.70 × 1,112.54
  4. Step 4: Simplify right side
    2,207.86x = 3,685,491.91
  5. Step 5: Solve for x
    x = 3,685,491.91/2,207.86
  6. Step 6: Final answer
    x = 1,669.26

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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.