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Finding the Fourth Proportional to 2,775.97, 3,830.98 and 1,597.22

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Solution

The fourth proportional to 2,775.97, 3,830.98 and 1,597.22 is: 2,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.97 : 3,830.98 = 1,597.22 : x
  2. Step 2: Convert to fraction form
    2,775.97/3,830.98 = 1,597.22/x
  3. Step 3: Cross multiply
    2,775.97x = 3,830.98 × 1,597.22
  4. Step 4: Simplify right side
    2,775.97x = 6,118,898.72
  5. Step 5: Solve for x
    x = 6,118,898.72/2,775.97
  6. Step 6: Final answer
    x = 2,204.24

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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.