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Finding the Fourth Proportional to 2,247.45, 3,370.32 and 686.98

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Solution

The fourth proportional to 2,247.45, 3,370.32 and 686.98 is: 1,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.45 : 3,370.32 = 686.98 : x
  2. Step 2: Convert to fraction form
    2,247.45/3,370.32 = 686.98/x
  3. Step 3: Cross multiply
    2,247.45x = 3,370.32 × 686.98
  4. Step 4: Simplify right side
    2,247.45x = 2,315,334.01
  5. Step 5: Solve for x
    x = 2,315,334.01/2,247.45
  6. Step 6: Final answer
    x = 1,030.20

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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.