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Finding the Fourth Proportional to 1,895.63, 2,615.74 and 1,098.97

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Solution

The fourth proportional to 1,895.63, 2,615.74 and 1,098.97 is: 1,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.63 : 2,615.74 = 1,098.97 : x
  2. Step 2: Convert to fraction form
    1,895.63/2,615.74 = 1,098.97/x
  3. Step 3: Cross multiply
    1,895.63x = 2,615.74 × 1,098.97
  4. Step 4: Simplify right side
    1,895.63x = 2,874,616.68
  5. Step 5: Solve for x
    x = 2,874,616.68/1,895.63
  6. Step 6: Final answer
    x = 1,516.45

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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.