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Finding the Fourth Proportional to 3,009.76, 4,153.52 and 1,683.44

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Solution

The fourth proportional to 3,009.76, 4,153.52 and 1,683.44 is: 2,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.76 : 4,153.52 = 1,683.44 : x
  2. Step 2: Convert to fraction form
    3,009.76/4,153.52 = 1,683.44/x
  3. Step 3: Cross multiply
    3,009.76x = 4,153.52 × 1,683.44
  4. Step 4: Simplify right side
    3,009.76x = 6,992,201.71
  5. Step 5: Solve for x
    x = 6,992,201.71/3,009.76
  6. Step 6: Final answer
    x = 2,323.18

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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.