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Finding the Fourth Proportional to 2,039.57, 3,057.86 and 652.11

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Solution

The fourth proportional to 2,039.57, 3,057.86 and 652.11 is: 977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.57 : 3,057.86 = 652.11 : x
  2. Step 2: Convert to fraction form
    2,039.57/3,057.86 = 652.11/x
  3. Step 3: Cross multiply
    2,039.57x = 3,057.86 × 652.11
  4. Step 4: Simplify right side
    2,039.57x = 1,994,061.08
  5. Step 5: Solve for x
    x = 1,994,061.08/2,039.57
  6. Step 6: Final answer
    x = 977.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.