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Finding the Fourth Proportional to 2,097.63, 2,892.78 and 1,623.99

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Solution

The fourth proportional to 2,097.63, 2,892.78 and 1,623.99 is: 2,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.63 : 2,892.78 = 1,623.99 : x
  2. Step 2: Convert to fraction form
    2,097.63/2,892.78 = 1,623.99/x
  3. Step 3: Cross multiply
    2,097.63x = 2,892.78 × 1,623.99
  4. Step 4: Simplify right side
    2,097.63x = 4,697,845.79
  5. Step 5: Solve for x
    x = 4,697,845.79/2,097.63
  6. Step 6: Final answer
    x = 2,239.60

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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.