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Finding the Fourth Proportional to 2,113.64, 3,171.36 and 1,188.08

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Solution

The fourth proportional to 2,113.64, 3,171.36 and 1,188.08 is: 1,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.64 : 3,171.36 = 1,188.08 : x
  2. Step 2: Convert to fraction form
    2,113.64/3,171.36 = 1,188.08/x
  3. Step 3: Cross multiply
    2,113.64x = 3,171.36 × 1,188.08
  4. Step 4: Simplify right side
    2,113.64x = 3,767,829.39
  5. Step 5: Solve for x
    x = 3,767,829.39/2,113.64
  6. Step 6: Final answer
    x = 1,782.63

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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.