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Finding the Fourth Proportional to 2,777.55, 3,833.01 and 1,598.55

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Solution

The fourth proportional to 2,777.55, 3,833.01 and 1,598.55 is: 2,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.55 : 3,833.01 = 1,598.55 : x
  2. Step 2: Convert to fraction form
    2,777.55/3,833.01 = 1,598.55/x
  3. Step 3: Cross multiply
    2,777.55x = 3,833.01 × 1,598.55
  4. Step 4: Simplify right side
    2,777.55x = 6,127,258.14
  5. Step 5: Solve for x
    x = 6,127,258.14/2,777.55
  6. Step 6: Final answer
    x = 2,205.99

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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.