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Finding the Fourth Proportional to 2,054.99, 3,082.40 and 594.11

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Solution

The fourth proportional to 2,054.99, 3,082.40 and 594.11 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.99 : 3,082.40 = 594.11 : x
  2. Step 2: Convert to fraction form
    2,054.99/3,082.40 = 594.11/x
  3. Step 3: Cross multiply
    2,054.99x = 3,082.40 × 594.11
  4. Step 4: Simplify right side
    2,054.99x = 1,831,281.69
  5. Step 5: Solve for x
    x = 1,831,281.69/2,054.99
  6. Step 6: Final answer
    x = 891.14

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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.