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Finding the Fourth Proportional to 1,966.02, 2,951.97 and 1,703.28

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Solution

The fourth proportional to 1,966.02, 2,951.97 and 1,703.28 is: 2,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.02 : 2,951.97 = 1,703.28 : x
  2. Step 2: Convert to fraction form
    1,966.02/2,951.97 = 1,703.28/x
  3. Step 3: Cross multiply
    1,966.02x = 2,951.97 × 1,703.28
  4. Step 4: Simplify right side
    1,966.02x = 5,028,031.46
  5. Step 5: Solve for x
    x = 5,028,031.46/1,966.02
  6. Step 6: Final answer
    x = 2,557.47

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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.