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Finding the Fourth Proportional to 3,028.76, 4,541.22 and 948.14

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Solution

The fourth proportional to 3,028.76, 4,541.22 and 948.14 is: 1,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.76 : 4,541.22 = 948.14 : x
  2. Step 2: Convert to fraction form
    3,028.76/4,541.22 = 948.14/x
  3. Step 3: Cross multiply
    3,028.76x = 4,541.22 × 948.14
  4. Step 4: Simplify right side
    3,028.76x = 4,305,712.33
  5. Step 5: Solve for x
    x = 4,305,712.33/3,028.76
  6. Step 6: Final answer
    x = 1,421.61

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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.