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Finding the Fourth Proportional to 2,055.59, 3,079.50 and 1,014.37

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Solution

The fourth proportional to 2,055.59, 3,079.50 and 1,014.37 is: 1,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.59 : 3,079.50 = 1,014.37 : x
  2. Step 2: Convert to fraction form
    2,055.59/3,079.50 = 1,014.37/x
  3. Step 3: Cross multiply
    2,055.59x = 3,079.50 × 1,014.37
  4. Step 4: Simplify right side
    2,055.59x = 3,123,752.46
  5. Step 5: Solve for x
    x = 3,123,752.46/2,055.59
  6. Step 6: Final answer
    x = 1,519.64

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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.