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Finding the Fourth Proportional to 2,510.94, 3,464.66 and 1,448.46

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Solution

The fourth proportional to 2,510.94, 3,464.66 and 1,448.46 is: 1,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.94 : 3,464.66 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    2,510.94/3,464.66 = 1,448.46/x
  3. Step 3: Cross multiply
    2,510.94x = 3,464.66 × 1,448.46
  4. Step 4: Simplify right side
    2,510.94x = 5,018,425.04
  5. Step 5: Solve for x
    x = 5,018,425.04/2,510.94
  6. Step 6: Final answer
    x = 1,998.62

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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.