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Finding the Fourth Proportional to 2,047.04, 3,070.56 and 679.04

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Solution

The fourth proportional to 2,047.04, 3,070.56 and 679.04 is: 1,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.04 : 3,070.56 = 679.04 : x
  2. Step 2: Convert to fraction form
    2,047.04/3,070.56 = 679.04/x
  3. Step 3: Cross multiply
    2,047.04x = 3,070.56 × 679.04
  4. Step 4: Simplify right side
    2,047.04x = 2,085,033.06
  5. Step 5: Solve for x
    x = 2,085,033.06/2,047.04
  6. Step 6: Final answer
    x = 1,018.56

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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.