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Finding the Fourth Proportional to 2,415.63, 3,333.57 and 1,311.63

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Solution

The fourth proportional to 2,415.63, 3,333.57 and 1,311.63 is: 1,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.63 : 3,333.57 = 1,311.63 : x
  2. Step 2: Convert to fraction form
    2,415.63/3,333.57 = 1,311.63/x
  3. Step 3: Cross multiply
    2,415.63x = 3,333.57 × 1,311.63
  4. Step 4: Simplify right side
    2,415.63x = 4,372,410.42
  5. Step 5: Solve for x
    x = 4,372,410.42/2,415.63
  6. Step 6: Final answer
    x = 1,810.05

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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.