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Finding the Fourth Proportional to 2,066.08, 2,851.08 and 1,181.80

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Solution

The fourth proportional to 2,066.08, 2,851.08 and 1,181.80 is: 1,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.08 : 2,851.08 = 1,181.80 : x
  2. Step 2: Convert to fraction form
    2,066.08/2,851.08 = 1,181.80/x
  3. Step 3: Cross multiply
    2,066.08x = 2,851.08 × 1,181.80
  4. Step 4: Simplify right side
    2,066.08x = 3,369,406.34
  5. Step 5: Solve for x
    x = 3,369,406.34/2,066.08
  6. Step 6: Final answer
    x = 1,630.82

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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.