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Finding the Fourth Proportional to 3,009.68, 4,152.56 and 2,065.76

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Solution

The fourth proportional to 3,009.68, 4,152.56 and 2,065.76 is: 2,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.68 : 4,152.56 = 2,065.76 : x
  2. Step 2: Convert to fraction form
    3,009.68/4,152.56 = 2,065.76/x
  3. Step 3: Cross multiply
    3,009.68x = 4,152.56 × 2,065.76
  4. Step 4: Simplify right side
    3,009.68x = 8,578,192.35
  5. Step 5: Solve for x
    x = 8,578,192.35/3,009.68
  6. Step 6: Final answer
    x = 2,850.20

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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.