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Finding the Fourth Proportional to 2,021, 3,031.14 and 560.28

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Solution

The fourth proportional to 2,021, 3,031.14 and 560.28 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021 : 3,031.14 = 560.28 : x
  2. Step 2: Convert to fraction form
    2,021/3,031.14 = 560.28/x
  3. Step 3: Cross multiply
    2,021x = 3,031.14 × 560.28
  4. Step 4: Simplify right side
    2,021x = 1,698,287.12
  5. Step 5: Solve for x
    x = 1,698,287.12/2,021
  6. Step 6: Final answer
    x = 840.32

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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.