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Finding the Fourth Proportional to 1,976.87, 2,967.10 and 1,053.22

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Solution

The fourth proportional to 1,976.87, 2,967.10 and 1,053.22 is: 1,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.87 : 2,967.10 = 1,053.22 : x
  2. Step 2: Convert to fraction form
    1,976.87/2,967.10 = 1,053.22/x
  3. Step 3: Cross multiply
    1,976.87x = 2,967.10 × 1,053.22
  4. Step 4: Simplify right side
    1,976.87x = 3,124,994.23
  5. Step 5: Solve for x
    x = 3,124,994.23/1,976.87
  6. Step 6: Final answer
    x = 1,580.78

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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.