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Finding the Fourth Proportional to 3,200.16, 4,800.51 and 1,009.02

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Solution

The fourth proportional to 3,200.16, 4,800.51 and 1,009.02 is: 1,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.16 : 4,800.51 = 1,009.02 : x
  2. Step 2: Convert to fraction form
    3,200.16/4,800.51 = 1,009.02/x
  3. Step 3: Cross multiply
    3,200.16x = 4,800.51 × 1,009.02
  4. Step 4: Simplify right side
    3,200.16x = 4,843,810.60
  5. Step 5: Solve for x
    x = 4,843,810.60/3,200.16
  6. Step 6: Final answer
    x = 1,513.62

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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.