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Finding the Fourth Proportional to 2,510.55, 3,464.81 and 1,448.64

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Solution

The fourth proportional to 2,510.55, 3,464.81 and 1,448.64 is: 1,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.55 : 3,464.81 = 1,448.64 : x
  2. Step 2: Convert to fraction form
    2,510.55/3,464.81 = 1,448.64/x
  3. Step 3: Cross multiply
    2,510.55x = 3,464.81 × 1,448.64
  4. Step 4: Simplify right side
    2,510.55x = 5,019,262.36
  5. Step 5: Solve for x
    x = 5,019,262.36/2,510.55
  6. Step 6: Final answer
    x = 1,999.27

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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.