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Finding the Fourth Proportional to 2,953.98, 4,074.22 and 1,835.58

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Solution

The fourth proportional to 2,953.98, 4,074.22 and 1,835.58 is: 2,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.98 : 4,074.22 = 1,835.58 : x
  2. Step 2: Convert to fraction form
    2,953.98/4,074.22 = 1,835.58/x
  3. Step 3: Cross multiply
    2,953.98x = 4,074.22 × 1,835.58
  4. Step 4: Simplify right side
    2,953.98x = 7,478,556.75
  5. Step 5: Solve for x
    x = 7,478,556.75/2,953.98
  6. Step 6: Final answer
    x = 2,531.69

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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.