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Finding the Fourth Proportional to 2,876.40, 4,311.72 and 1,416.60

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Solution

The fourth proportional to 2,876.40, 4,311.72 and 1,416.60 is: 2,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.40 : 4,311.72 = 1,416.60 : x
  2. Step 2: Convert to fraction form
    2,876.40/4,311.72 = 1,416.60/x
  3. Step 3: Cross multiply
    2,876.40x = 4,311.72 × 1,416.60
  4. Step 4: Simplify right side
    2,876.40x = 6,107,982.55
  5. Step 5: Solve for x
    x = 6,107,982.55/2,876.40
  6. Step 6: Final answer
    x = 2,123.48

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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.