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Finding the Fourth Proportional to 1,793.10, 2,689.84 and 560.54

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Solution

The fourth proportional to 1,793.10, 2,689.84 and 560.54 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.10 : 2,689.84 = 560.54 : x
  2. Step 2: Convert to fraction form
    1,793.10/2,689.84 = 560.54/x
  3. Step 3: Cross multiply
    1,793.10x = 2,689.84 × 560.54
  4. Step 4: Simplify right side
    1,793.10x = 1,507,762.91
  5. Step 5: Solve for x
    x = 1,507,762.91/1,793.10
  6. Step 6: Final answer
    x = 840.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.