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Finding the Fourth Proportional to 2,440.64, 3,655.46 and 1,464.68

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Solution

The fourth proportional to 2,440.64, 3,655.46 and 1,464.68 is: 2,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.64 : 3,655.46 = 1,464.68 : x
  2. Step 2: Convert to fraction form
    2,440.64/3,655.46 = 1,464.68/x
  3. Step 3: Cross multiply
    2,440.64x = 3,655.46 × 1,464.68
  4. Step 4: Simplify right side
    2,440.64x = 5,354,053.55
  5. Step 5: Solve for x
    x = 5,354,053.55/2,440.64
  6. Step 6: Final answer
    x = 2,193.71

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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.