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Finding the Fourth Proportional to 2,024.78, 3,036.63 and 564.02

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Solution

The fourth proportional to 2,024.78, 3,036.63 and 564.02 is: 845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.78 : 3,036.63 = 564.02 : x
  2. Step 2: Convert to fraction form
    2,024.78/3,036.63 = 564.02/x
  3. Step 3: Cross multiply
    2,024.78x = 3,036.63 × 564.02
  4. Step 4: Simplify right side
    2,024.78x = 1,712,720.05
  5. Step 5: Solve for x
    x = 1,712,720.05/2,024.78
  6. Step 6: Final answer
    x = 845.88

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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.