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Finding the Fourth Proportional to 2,685.60, 4,027.74 and 954.24

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Solution

The fourth proportional to 2,685.60, 4,027.74 and 954.24 is: 1,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.60 : 4,027.74 = 954.24 : x
  2. Step 2: Convert to fraction form
    2,685.60/4,027.74 = 954.24/x
  3. Step 3: Cross multiply
    2,685.60x = 4,027.74 × 954.24
  4. Step 4: Simplify right side
    2,685.60x = 3,843,430.62
  5. Step 5: Solve for x
    x = 3,843,430.62/2,685.60
  6. Step 6: Final answer
    x = 1,431.13

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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.