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Finding the Fourth Proportional to 2,026.10, 3,038.73 and 565.27

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Solution

The fourth proportional to 2,026.10, 3,038.73 and 565.27 is: 847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.10 : 3,038.73 = 565.27 : x
  2. Step 2: Convert to fraction form
    2,026.10/3,038.73 = 565.27/x
  3. Step 3: Cross multiply
    2,026.10x = 3,038.73 × 565.27
  4. Step 4: Simplify right side
    2,026.10x = 1,717,702.91
  5. Step 5: Solve for x
    x = 1,717,702.91/2,026.10
  6. Step 6: Final answer
    x = 847.79

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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.