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Finding the Fourth Proportional to 2,010, 2,772.66 and 1,423.20

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Solution

The fourth proportional to 2,010, 2,772.66 and 1,423.20 is: 1,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 2,772.66 = 1,423.20 : x
  2. Step 2: Convert to fraction form
    2,010/2,772.66 = 1,423.20/x
  3. Step 3: Cross multiply
    2,010x = 2,772.66 × 1,423.20
  4. Step 4: Simplify right side
    2,010x = 3,946,049.71
  5. Step 5: Solve for x
    x = 3,946,049.71/2,010
  6. Step 6: Final answer
    x = 1,963.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.