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Finding the Fourth Proportional to 2,054.97, 3,082.52 and 594.14

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Solution

The fourth proportional to 2,054.97, 3,082.52 and 594.14 is: 891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.97 : 3,082.52 = 594.14 : x
  2. Step 2: Convert to fraction form
    2,054.97/3,082.52 = 594.14/x
  3. Step 3: Cross multiply
    2,054.97x = 3,082.52 × 594.14
  4. Step 4: Simplify right side
    2,054.97x = 1,831,434.51
  5. Step 5: Solve for x
    x = 1,831,434.51/2,054.97
  6. Step 6: Final answer
    x = 891.22

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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.