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Finding the Fourth Proportional to 2,348.91, 3,522.33 and 1,116.67

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Solution

The fourth proportional to 2,348.91, 3,522.33 and 1,116.67 is: 1,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.91 : 3,522.33 = 1,116.67 : x
  2. Step 2: Convert to fraction form
    2,348.91/3,522.33 = 1,116.67/x
  3. Step 3: Cross multiply
    2,348.91x = 3,522.33 × 1,116.67
  4. Step 4: Simplify right side
    2,348.91x = 3,933,280.24
  5. Step 5: Solve for x
    x = 3,933,280.24/2,348.91
  6. Step 6: Final answer
    x = 1,674.51

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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.