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Finding the Fourth Proportional to 2,570.68, 3,848.34 and 1,919.80

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Solution

The fourth proportional to 2,570.68, 3,848.34 and 1,919.80 is: 2,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.68 : 3,848.34 = 1,919.80 : x
  2. Step 2: Convert to fraction form
    2,570.68/3,848.34 = 1,919.80/x
  3. Step 3: Cross multiply
    2,570.68x = 3,848.34 × 1,919.80
  4. Step 4: Simplify right side
    2,570.68x = 7,388,043.13
  5. Step 5: Solve for x
    x = 7,388,043.13/2,570.68
  6. Step 6: Final answer
    x = 2,873.96

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1.5x scale

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.