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Finding the Fourth Proportional to 1,777.78, 2,454.15 and 1,181.20

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Solution

The fourth proportional to 1,777.78, 2,454.15 and 1,181.20 is: 1,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.78 : 2,454.15 = 1,181.20 : x
  2. Step 2: Convert to fraction form
    1,777.78/2,454.15 = 1,181.20/x
  3. Step 3: Cross multiply
    1,777.78x = 2,454.15 × 1,181.20
  4. Step 4: Simplify right side
    1,777.78x = 2,898,841.98
  5. Step 5: Solve for x
    x = 2,898,841.98/1,777.78
  6. Step 6: Final answer
    x = 1,630.60

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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.