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Finding the Fourth Proportional to 3,201.60, 4,802.00 and 1,010.55

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Solution

The fourth proportional to 3,201.60, 4,802.00 and 1,010.55 is: 1,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.60 : 4,802.00 = 1,010.55 : x
  2. Step 2: Convert to fraction form
    3,201.60/4,802.00 = 1,010.55/x
  3. Step 3: Cross multiply
    3,201.60x = 4,802.00 × 1,010.55
  4. Step 4: Simplify right side
    3,201.60x = 4,852,656.05
  5. Step 5: Solve for x
    x = 4,852,656.05/3,201.60
  6. Step 6: Final answer
    x = 1,515.70

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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.