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Finding the Fourth Proportional to 1,771.33, 2,445.74 and 1,142.22

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Solution

The fourth proportional to 1,771.33, 2,445.74 and 1,142.22 is: 1,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.33 : 2,445.74 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    1,771.33/2,445.74 = 1,142.22/x
  3. Step 3: Cross multiply
    1,771.33x = 2,445.74 × 1,142.22
  4. Step 4: Simplify right side
    1,771.33x = 2,793,579.22
  5. Step 5: Solve for x
    x = 2,793,579.22/1,771.33
  6. Step 6: Final answer
    x = 1,577.11

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