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Finding the Fourth Proportional to 2,777.06, 3,832.29 and 1,535.06

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Solution

The fourth proportional to 2,777.06, 3,832.29 and 1,535.06 is: 2,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.06 : 3,832.29 = 1,535.06 : x
  2. Step 2: Convert to fraction form
    2,777.06/3,832.29 = 1,535.06/x
  3. Step 3: Cross multiply
    2,777.06x = 3,832.29 × 1,535.06
  4. Step 4: Simplify right side
    2,777.06x = 5,882,795.09
  5. Step 5: Solve for x
    x = 5,882,795.09/2,777.06
  6. Step 6: Final answer
    x = 2,118.35

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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.