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Finding the Fourth Proportional to 1,848.56, 2,773.56 and 1,118.66

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Solution

The fourth proportional to 1,848.56, 2,773.56 and 1,118.66 is: 1,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.56 : 2,773.56 = 1,118.66 : x
  2. Step 2: Convert to fraction form
    1,848.56/2,773.56 = 1,118.66/x
  3. Step 3: Cross multiply
    1,848.56x = 2,773.56 × 1,118.66
  4. Step 4: Simplify right side
    1,848.56x = 3,102,670.63
  5. Step 5: Solve for x
    x = 3,102,670.63/1,848.56
  6. Step 6: Final answer
    x = 1,678.43

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Why These Related Problems?

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