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Finding the Fourth Proportional to 2,103.22, 2,899.87 and 1,915.93

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Solution

The fourth proportional to 2,103.22, 2,899.87 and 1,915.93 is: 2,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.22 : 2,899.87 = 1,915.93 : x
  2. Step 2: Convert to fraction form
    2,103.22/2,899.87 = 1,915.93/x
  3. Step 3: Cross multiply
    2,103.22x = 2,899.87 × 1,915.93
  4. Step 4: Simplify right side
    2,103.22x = 5,555,947.93
  5. Step 5: Solve for x
    x = 5,555,947.93/2,103.22
  6. Step 6: Final answer
    x = 2,641.64

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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.