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Finding the Fourth Proportional to 2,100.32, 2,896.80 and 1,823.84

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Solution

The fourth proportional to 2,100.32, 2,896.80 and 1,823.84 is: 2,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.32 : 2,896.80 = 1,823.84 : x
  2. Step 2: Convert to fraction form
    2,100.32/2,896.80 = 1,823.84/x
  3. Step 3: Cross multiply
    2,100.32x = 2,896.80 × 1,823.84
  4. Step 4: Simplify right side
    2,100.32x = 5,283,299.71
  5. Step 5: Solve for x
    x = 5,283,299.71/2,100.32
  6. Step 6: Final answer
    x = 2,515.47

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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.