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Finding the Fourth Proportional to 2,452.95, 3,679.41 and 604.05

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Solution

The fourth proportional to 2,452.95, 3,679.41 and 604.05 is: 906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.95 : 3,679.41 = 604.05 : x
  2. Step 2: Convert to fraction form
    2,452.95/3,679.41 = 604.05/x
  3. Step 3: Cross multiply
    2,452.95x = 3,679.41 × 604.05
  4. Step 4: Simplify right side
    2,452.95x = 2,222,547.61
  5. Step 5: Solve for x
    x = 2,222,547.61/2,452.95
  6. Step 6: Final answer
    x = 906.07

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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.