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Finding the Fourth Proportional to 2,104.57, 2,903.36 and 1,431.55

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Solution

The fourth proportional to 2,104.57, 2,903.36 and 1,431.55 is: 1,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.57 : 2,903.36 = 1,431.55 : x
  2. Step 2: Convert to fraction form
    2,104.57/2,903.36 = 1,431.55/x
  3. Step 3: Cross multiply
    2,104.57x = 2,903.36 × 1,431.55
  4. Step 4: Simplify right side
    2,104.57x = 4,156,290.59
  5. Step 5: Solve for x
    x = 4,156,290.59/2,104.57
  6. Step 6: Final answer
    x = 1,974.89

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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.