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Finding the Fourth Proportional to 3,280.79, 4,929.69 and 2,466.74

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Solution

The fourth proportional to 3,280.79, 4,929.69 and 2,466.74 is: 3,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.79 : 4,929.69 = 2,466.74 : x
  2. Step 2: Convert to fraction form
    3,280.79/4,929.69 = 2,466.74/x
  3. Step 3: Cross multiply
    3,280.79x = 4,929.69 × 2,466.74
  4. Step 4: Simplify right side
    3,280.79x = 12,160,238.86
  5. Step 5: Solve for x
    x = 12,160,238.86/3,280.79
  6. Step 6: Final answer
    x = 3,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.