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Finding the Fourth Proportional to 2,223.67, 3,337.14 and 837.34

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Solution

The fourth proportional to 2,223.67, 3,337.14 and 837.34 is: 1,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.67 : 3,337.14 = 837.34 : x
  2. Step 2: Convert to fraction form
    2,223.67/3,337.14 = 837.34/x
  3. Step 3: Cross multiply
    2,223.67x = 3,337.14 × 837.34
  4. Step 4: Simplify right side
    2,223.67x = 2,794,320.81
  5. Step 5: Solve for x
    x = 2,794,320.81/2,223.67
  6. Step 6: Final answer
    x = 1,256.63

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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.