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Finding the Fourth Proportional to 2,510.16, 3,463.16 and 1,462.56

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Solution

The fourth proportional to 2,510.16, 3,463.16 and 1,462.56 is: 2,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.16 : 3,463.16 = 1,462.56 : x
  2. Step 2: Convert to fraction form
    2,510.16/3,463.16 = 1,462.56/x
  3. Step 3: Cross multiply
    2,510.16x = 3,463.16 × 1,462.56
  4. Step 4: Simplify right side
    2,510.16x = 5,065,079.29
  5. Step 5: Solve for x
    x = 5,065,079.29/2,510.16
  6. Step 6: Final answer
    x = 2,017.83

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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.