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Finding the Fourth Proportional to 3,046.56, 4,586.46 and 2,078.88

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Solution

The fourth proportional to 3,046.56, 4,586.46 and 2,078.88 is: 3,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.56 : 4,586.46 = 2,078.88 : x
  2. Step 2: Convert to fraction form
    3,046.56/4,586.46 = 2,078.88/x
  3. Step 3: Cross multiply
    3,046.56x = 4,586.46 × 2,078.88
  4. Step 4: Simplify right side
    3,046.56x = 9,534,699.96
  5. Step 5: Solve for x
    x = 9,534,699.96/3,046.56
  6. Step 6: Final answer
    x = 3,129.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.