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Finding the Fourth Proportional to 4,612.41, 6,920.00 and 2,148.69

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Solution

The fourth proportional to 4,612.41, 6,920.00 and 2,148.69 is: 3,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.41 : 6,920.00 = 2,148.69 : x
  2. Step 2: Convert to fraction form
    4,612.41/6,920.00 = 2,148.69/x
  3. Step 3: Cross multiply
    4,612.41x = 6,920.00 × 2,148.69
  4. Step 4: Simplify right side
    4,612.41x = 14,868,958.06
  5. Step 5: Solve for x
    x = 14,868,958.06/4,612.41
  6. Step 6: Final answer
    x = 3,223.69

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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.