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Finding the Fourth Proportional to 2,020.72, 3,031.20 and 560.08

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Solution

The fourth proportional to 2,020.72, 3,031.20 and 560.08 is: 840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.72 : 3,031.20 = 560.08 : x
  2. Step 2: Convert to fraction form
    2,020.72/3,031.20 = 560.08/x
  3. Step 3: Cross multiply
    2,020.72x = 3,031.20 × 560.08
  4. Step 4: Simplify right side
    2,020.72x = 1,697,714.50
  5. Step 5: Solve for x
    x = 1,697,714.50/2,020.72
  6. Step 6: Final answer
    x = 840.15

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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.