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Finding the Fourth Proportional to 2,327.58, 3,483.54 and 1,271.94

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Solution

The fourth proportional to 2,327.58, 3,483.54 and 1,271.94 is: 1,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.58 : 3,483.54 = 1,271.94 : x
  2. Step 2: Convert to fraction form
    2,327.58/3,483.54 = 1,271.94/x
  3. Step 3: Cross multiply
    2,327.58x = 3,483.54 × 1,271.94
  4. Step 4: Simplify right side
    2,327.58x = 4,430,853.87
  5. Step 5: Solve for x
    x = 4,430,853.87/2,327.58
  6. Step 6: Final answer
    x = 1,903.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.