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Finding the Fourth Proportional to 2,183.46, 3,012.03 and 1,510.98

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Solution

The fourth proportional to 2,183.46, 3,012.03 and 1,510.98 is: 2,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.46 : 3,012.03 = 1,510.98 : x
  2. Step 2: Convert to fraction form
    2,183.46/3,012.03 = 1,510.98/x
  3. Step 3: Cross multiply
    2,183.46x = 3,012.03 × 1,510.98
  4. Step 4: Simplify right side
    2,183.46x = 4,551,117.09
  5. Step 5: Solve for x
    x = 4,551,117.09/2,183.46
  6. Step 6: Final answer
    x = 2,084.36

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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.