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Finding the Fourth Proportional to 2,510.92, 3,466.02 and 1,463.32

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Solution

The fourth proportional to 2,510.92, 3,466.02 and 1,463.32 is: 2,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.92 : 3,466.02 = 1,463.32 : x
  2. Step 2: Convert to fraction form
    2,510.92/3,466.02 = 1,463.32/x
  3. Step 3: Cross multiply
    2,510.92x = 3,466.02 × 1,463.32
  4. Step 4: Simplify right side
    2,510.92x = 5,071,896.39
  5. Step 5: Solve for x
    x = 5,071,896.39/2,510.92
  6. Step 6: Final answer
    x = 2,019.94

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Why These Related Problems?

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