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Finding the Fourth Proportional to 2,055.74, 3,082.70 and 594.56

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Solution

The fourth proportional to 2,055.74, 3,082.70 and 594.56 is: 891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.74 : 3,082.70 = 594.56 : x
  2. Step 2: Convert to fraction form
    2,055.74/3,082.70 = 594.56/x
  3. Step 3: Cross multiply
    2,055.74x = 3,082.70 × 594.56
  4. Step 4: Simplify right side
    2,055.74x = 1,832,831.73
  5. Step 5: Solve for x
    x = 1,832,831.73/2,055.74
  6. Step 6: Final answer
    x = 891.57

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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.