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Finding the Fourth Proportional to 2,475.77, 3,713.64 and 2,311.74

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Solution

The fourth proportional to 2,475.77, 3,713.64 and 2,311.74 is: 3,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.77 : 3,713.64 = 2,311.74 : x
  2. Step 2: Convert to fraction form
    2,475.77/3,713.64 = 2,311.74/x
  3. Step 3: Cross multiply
    2,475.77x = 3,713.64 × 2,311.74
  4. Step 4: Simplify right side
    2,475.77x = 8,584,970.13
  5. Step 5: Solve for x
    x = 8,584,970.13/2,475.77
  6. Step 6: Final answer
    x = 3,467.60

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Why These Related Problems?

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