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Finding the Fourth Proportional to 2,558.18, 3,837.02 and 914.58

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Solution

The fourth proportional to 2,558.18, 3,837.02 and 914.58 is: 1,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.18 : 3,837.02 = 914.58 : x
  2. Step 2: Convert to fraction form
    2,558.18/3,837.02 = 914.58/x
  3. Step 3: Cross multiply
    2,558.18x = 3,837.02 × 914.58
  4. Step 4: Simplify right side
    2,558.18x = 3,509,261.75
  5. Step 5: Solve for x
    x = 3,509,261.75/2,558.18
  6. Step 6: Final answer
    x = 1,371.78

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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.