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Finding the Fourth Proportional to 2,025.78, 3,038.46 and 564.90

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Solution

The fourth proportional to 2,025.78, 3,038.46 and 564.90 is: 847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.78 : 3,038.46 = 564.90 : x
  2. Step 2: Convert to fraction form
    2,025.78/3,038.46 = 564.90/x
  3. Step 3: Cross multiply
    2,025.78x = 3,038.46 × 564.90
  4. Step 4: Simplify right side
    2,025.78x = 1,716,426.05
  5. Step 5: Solve for x
    x = 1,716,426.05/2,025.78
  6. Step 6: Final answer
    x = 847.29

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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.