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Finding the Fourth Proportional to 2,162.79, 2,983.23 and 1,499.99

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Solution

The fourth proportional to 2,162.79, 2,983.23 and 1,499.99 is: 2,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.79 : 2,983.23 = 1,499.99 : x
  2. Step 2: Convert to fraction form
    2,162.79/2,983.23 = 1,499.99/x
  3. Step 3: Cross multiply
    2,162.79x = 2,983.23 × 1,499.99
  4. Step 4: Simplify right side
    2,162.79x = 4,474,800.25
  5. Step 5: Solve for x
    x = 4,474,800.25/2,162.79
  6. Step 6: Final answer
    x = 2,068.99

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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.