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Finding the Fourth Proportional to 2,486.34, 3,432.36 and 1,603.68

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Solution

The fourth proportional to 2,486.34, 3,432.36 and 1,603.68 is: 2,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.34 : 3,432.36 = 1,603.68 : x
  2. Step 2: Convert to fraction form
    2,486.34/3,432.36 = 1,603.68/x
  3. Step 3: Cross multiply
    2,486.34x = 3,432.36 × 1,603.68
  4. Step 4: Simplify right side
    2,486.34x = 5,504,407.08
  5. Step 5: Solve for x
    x = 5,504,407.08/2,486.34
  6. Step 6: Final answer
    x = 2,213.86

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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.