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Finding the Fourth Proportional to 2,375.42, 3,558.86 and 1,401

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Solution

The fourth proportional to 2,375.42, 3,558.86 and 1,401 is: 2,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.42 : 3,558.86 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,375.42/3,558.86 = 1,401/x
  3. Step 3: Cross multiply
    2,375.42x = 3,558.86 × 1,401
  4. Step 4: Simplify right side
    2,375.42x = 4,985,962.86
  5. Step 5: Solve for x
    x = 4,985,962.86/2,375.42
  6. Step 6: Final answer
    x = 2,098.98

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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.