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Finding the Fourth Proportional to 3,009.62, 4,152.84 and 1,683.08

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Solution

The fourth proportional to 3,009.62, 4,152.84 and 1,683.08 is: 2,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.62 : 4,152.84 = 1,683.08 : x
  2. Step 2: Convert to fraction form
    3,009.62/4,152.84 = 1,683.08/x
  3. Step 3: Cross multiply
    3,009.62x = 4,152.84 × 1,683.08
  4. Step 4: Simplify right side
    3,009.62x = 6,989,561.95
  5. Step 5: Solve for x
    x = 6,989,561.95/3,009.62
  6. Step 6: Final answer
    x = 2,322.41

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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.