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Finding the Fourth Proportional to 2,574.60, 3,550.74 and 2,014.20

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Solution

The fourth proportional to 2,574.60, 3,550.74 and 2,014.20 is: 2,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.60 : 3,550.74 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,574.60/3,550.74 = 2,014.20/x
  3. Step 3: Cross multiply
    2,574.60x = 3,550.74 × 2,014.20
  4. Step 4: Simplify right side
    2,574.60x = 7,151,900.51
  5. Step 5: Solve for x
    x = 7,151,900.51/2,574.60
  6. Step 6: Final answer
    x = 2,777.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.