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Finding the Fourth Proportional to 2,851.01, 4,276.56 and 977.33

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Solution

The fourth proportional to 2,851.01, 4,276.56 and 977.33 is: 1,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.01 : 4,276.56 = 977.33 : x
  2. Step 2: Convert to fraction form
    2,851.01/4,276.56 = 977.33/x
  3. Step 3: Cross multiply
    2,851.01x = 4,276.56 × 977.33
  4. Step 4: Simplify right side
    2,851.01x = 4,179,589.00
  5. Step 5: Solve for x
    x = 4,179,589.00/2,851.01
  6. Step 6: Final answer
    x = 1,466.01

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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.