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Finding the Fourth Proportional to 2,372.60, 3,559.72 and 2,102.06

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Solution

The fourth proportional to 2,372.60, 3,559.72 and 2,102.06 is: 3,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.60 : 3,559.72 = 2,102.06 : x
  2. Step 2: Convert to fraction form
    2,372.60/3,559.72 = 2,102.06/x
  3. Step 3: Cross multiply
    2,372.60x = 3,559.72 × 2,102.06
  4. Step 4: Simplify right side
    2,372.60x = 7,482,745.02
  5. Step 5: Solve for x
    x = 7,482,745.02/2,372.60
  6. Step 6: Final answer
    x = 3,153.82

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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.