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Finding the Fourth Proportional to 2,572.30, 3,858.05 and 817.07

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Solution

The fourth proportional to 2,572.30, 3,858.05 and 817.07 is: 1,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.30 : 3,858.05 = 817.07 : x
  2. Step 2: Convert to fraction form
    2,572.30/3,858.05 = 817.07/x
  3. Step 3: Cross multiply
    2,572.30x = 3,858.05 × 817.07
  4. Step 4: Simplify right side
    2,572.30x = 3,152,296.28
  5. Step 5: Solve for x
    x = 3,152,296.28/2,572.30
  6. Step 6: Final answer
    x = 1,225.48

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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.