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Finding the Fourth Proportional to 1,966.02, 2,707.47 and 1,616.10

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Solution

The fourth proportional to 1,966.02, 2,707.47 and 1,616.10 is: 2,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.02 : 2,707.47 = 1,616.10 : x
  2. Step 2: Convert to fraction form
    1,966.02/2,707.47 = 1,616.10/x
  3. Step 3: Cross multiply
    1,966.02x = 2,707.47 × 1,616.10
  4. Step 4: Simplify right side
    1,966.02x = 4,375,542.27
  5. Step 5: Solve for x
    x = 4,375,542.27/1,966.02
  6. Step 6: Final answer
    x = 2,225.58

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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.