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Finding the Fourth Proportional to 3,501.60, 4,832.14 and 1,929.70

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Solution

The fourth proportional to 3,501.60, 4,832.14 and 1,929.70 is: 2,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.60 : 4,832.14 = 1,929.70 : x
  2. Step 2: Convert to fraction form
    3,501.60/4,832.14 = 1,929.70/x
  3. Step 3: Cross multiply
    3,501.60x = 4,832.14 × 1,929.70
  4. Step 4: Simplify right side
    3,501.60x = 9,324,580.56
  5. Step 5: Solve for x
    x = 9,324,580.56/3,501.60
  6. Step 6: Final answer
    x = 2,662.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.