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Finding the Fourth Proportional to 2,025.85, 3,038.88 and 565.09

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Solution

The fourth proportional to 2,025.85, 3,038.88 and 565.09 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.85 : 3,038.88 = 565.09 : x
  2. Step 2: Convert to fraction form
    2,025.85/3,038.88 = 565.09/x
  3. Step 3: Cross multiply
    2,025.85x = 3,038.88 × 565.09
  4. Step 4: Simplify right side
    2,025.85x = 1,717,240.70
  5. Step 5: Solve for x
    x = 1,717,240.70/2,025.85
  6. Step 6: Final answer
    x = 847.66

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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.