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Finding the Fourth Proportional to 2,566.76, 3,848.77 and 811.01

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Solution

The fourth proportional to 2,566.76, 3,848.77 and 811.01 is: 1,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.76 : 3,848.77 = 811.01 : x
  2. Step 2: Convert to fraction form
    2,566.76/3,848.77 = 811.01/x
  3. Step 3: Cross multiply
    2,566.76x = 3,848.77 × 811.01
  4. Step 4: Simplify right side
    2,566.76x = 3,121,399.60
  5. Step 5: Solve for x
    x = 3,121,399.60/2,566.76
  6. Step 6: Final answer
    x = 1,216.08

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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.