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Finding the Fourth Proportional to 1,848.76, 2,774.44 and 1,027.68

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Solution

The fourth proportional to 1,848.76, 2,774.44 and 1,027.68 is: 1,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.76 : 2,774.44 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    1,848.76/2,774.44 = 1,027.68/x
  3. Step 3: Cross multiply
    1,848.76x = 2,774.44 × 1,027.68
  4. Step 4: Simplify right side
    1,848.76x = 2,851,236.50
  5. Step 5: Solve for x
    x = 2,851,236.50/1,848.76
  6. Step 6: Final answer
    x = 1,542.24

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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.