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Finding the Fourth Proportional to 2,054.84, 3,082.32 and 594.20

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Solution

The fourth proportional to 2,054.84, 3,082.32 and 594.20 is: 891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.84 : 3,082.32 = 594.20 : x
  2. Step 2: Convert to fraction form
    2,054.84/3,082.32 = 594.20/x
  3. Step 3: Cross multiply
    2,054.84x = 3,082.32 × 594.20
  4. Step 4: Simplify right side
    2,054.84x = 1,831,514.54
  5. Step 5: Solve for x
    x = 1,831,514.54/2,054.84
  6. Step 6: Final answer
    x = 891.32

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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.