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Finding the Fourth Proportional to 4,612.74, 6,920.28 and 1,326.06

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Solution

The fourth proportional to 4,612.74, 6,920.28 and 1,326.06 is: 1,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.74 : 6,920.28 = 1,326.06 : x
  2. Step 2: Convert to fraction form
    4,612.74/6,920.28 = 1,326.06/x
  3. Step 3: Cross multiply
    4,612.74x = 6,920.28 × 1,326.06
  4. Step 4: Simplify right side
    4,612.74x = 9,176,706.50
  5. Step 5: Solve for x
    x = 9,176,706.50/4,612.74
  6. Step 6: Final answer
    x = 1,989.43

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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.