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Finding the Fourth Proportional to 2,254.53, 3,113.22 and 1,416.68

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Solution

The fourth proportional to 2,254.53, 3,113.22 and 1,416.68 is: 1,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.53 : 3,113.22 = 1,416.68 : x
  2. Step 2: Convert to fraction form
    2,254.53/3,113.22 = 1,416.68/x
  3. Step 3: Cross multiply
    2,254.53x = 3,113.22 × 1,416.68
  4. Step 4: Simplify right side
    2,254.53x = 4,410,420.94
  5. Step 5: Solve for x
    x = 4,410,420.94/2,254.53
  6. Step 6: Final answer
    x = 1,956.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.