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Finding the Fourth Proportional to 2,021.50, 3,031.90 and 560.26

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Solution

The fourth proportional to 2,021.50, 3,031.90 and 560.26 is: 840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.50 : 3,031.90 = 560.26 : x
  2. Step 2: Convert to fraction form
    2,021.50/3,031.90 = 560.26/x
  3. Step 3: Cross multiply
    2,021.50x = 3,031.90 × 560.26
  4. Step 4: Simplify right side
    2,021.50x = 1,698,652.29
  5. Step 5: Solve for x
    x = 1,698,652.29/2,021.50
  6. Step 6: Final answer
    x = 840.29

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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.