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Finding the Fourth Proportional to 2,572.55, 3,858.79 and 624.77

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Solution

The fourth proportional to 2,572.55, 3,858.79 and 624.77 is: 937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.55 : 3,858.79 = 624.77 : x
  2. Step 2: Convert to fraction form
    2,572.55/3,858.79 = 624.77/x
  3. Step 3: Cross multiply
    2,572.55x = 3,858.79 × 624.77
  4. Step 4: Simplify right side
    2,572.55x = 2,410,856.23
  5. Step 5: Solve for x
    x = 2,410,856.23/2,572.55
  6. Step 6: Final answer
    x = 937.15

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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.