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Finding the Fourth Proportional to 3,049.53, 4,574.95 and 941.16

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Solution

The fourth proportional to 3,049.53, 4,574.95 and 941.16 is: 1,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.53 : 4,574.95 = 941.16 : x
  2. Step 2: Convert to fraction form
    3,049.53/4,574.95 = 941.16/x
  3. Step 3: Cross multiply
    3,049.53x = 4,574.95 × 941.16
  4. Step 4: Simplify right side
    3,049.53x = 4,305,774.75
  5. Step 5: Solve for x
    x = 4,305,774.75/3,049.53
  6. Step 6: Final answer
    x = 1,411.95

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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.