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Finding the Fourth Proportional to 2,510.52, 3,463.74 and 1,461.84

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Solution

The fourth proportional to 2,510.52, 3,463.74 and 1,461.84 is: 2,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.52 : 3,463.74 = 1,461.84 : x
  2. Step 2: Convert to fraction form
    2,510.52/3,463.74 = 1,461.84/x
  3. Step 3: Cross multiply
    2,510.52x = 3,463.74 × 1,461.84
  4. Step 4: Simplify right side
    2,510.52x = 5,063,433.68
  5. Step 5: Solve for x
    x = 5,063,433.68/2,510.52
  6. Step 6: Final answer
    x = 2,016.89

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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.