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Finding the Fourth Proportional to 2,572.10, 3,856.41 and 928.41

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Solution

The fourth proportional to 2,572.10, 3,856.41 and 928.41 is: 1,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.10 : 3,856.41 = 928.41 : x
  2. Step 2: Convert to fraction form
    2,572.10/3,856.41 = 928.41/x
  3. Step 3: Cross multiply
    2,572.10x = 3,856.41 × 928.41
  4. Step 4: Simplify right side
    2,572.10x = 3,580,329.61
  5. Step 5: Solve for x
    x = 3,580,329.61/2,572.10
  6. Step 6: Final answer
    x = 1,391.99

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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.