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Finding the Fourth Proportional to 2,835.78, 3,915.34 and 1,774.02

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Solution

The fourth proportional to 2,835.78, 3,915.34 and 1,774.02 is: 2,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.78 : 3,915.34 = 1,774.02 : x
  2. Step 2: Convert to fraction form
    2,835.78/3,915.34 = 1,774.02/x
  3. Step 3: Cross multiply
    2,835.78x = 3,915.34 × 1,774.02
  4. Step 4: Simplify right side
    2,835.78x = 6,945,891.47
  5. Step 5: Solve for x
    x = 6,945,891.47/2,835.78
  6. Step 6: Final answer
    x = 2,449.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.