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Finding the Fourth Proportional to 2,771.64, 4,159.26 and 1,040.25

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Solution

The fourth proportional to 2,771.64, 4,159.26 and 1,040.25 is: 1,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.64 : 4,159.26 = 1,040.25 : x
  2. Step 2: Convert to fraction form
    2,771.64/4,159.26 = 1,040.25/x
  3. Step 3: Cross multiply
    2,771.64x = 4,159.26 × 1,040.25
  4. Step 4: Simplify right side
    2,771.64x = 4,326,670.22
  5. Step 5: Solve for x
    x = 4,326,670.22/2,771.64
  6. Step 6: Final answer
    x = 1,561.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.