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Finding the Fourth Proportional to 1,964.80, 2,710.02 and 1,266.04

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Solution

The fourth proportional to 1,964.80, 2,710.02 and 1,266.04 is: 1,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.80 : 2,710.02 = 1,266.04 : x
  2. Step 2: Convert to fraction form
    1,964.80/2,710.02 = 1,266.04/x
  3. Step 3: Cross multiply
    1,964.80x = 2,710.02 × 1,266.04
  4. Step 4: Simplify right side
    1,964.80x = 3,430,993.72
  5. Step 5: Solve for x
    x = 3,430,993.72/1,964.80
  6. Step 6: Final answer
    x = 1,746.23

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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.