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Finding the Fourth Proportional to 2,053.68, 3,080.66 and 737.30

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Solution

The fourth proportional to 2,053.68, 3,080.66 and 737.30 is: 1,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.68 : 3,080.66 = 737.30 : x
  2. Step 2: Convert to fraction form
    2,053.68/3,080.66 = 737.30/x
  3. Step 3: Cross multiply
    2,053.68x = 3,080.66 × 737.30
  4. Step 4: Simplify right side
    2,053.68x = 2,271,351.53
  5. Step 5: Solve for x
    x = 2,271,351.53/2,053.68
  6. Step 6: Final answer
    x = 1,105.99

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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.