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Finding the Fourth Proportional to 2,336.37, 3,502.06 and 1,164.06

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Solution

The fourth proportional to 2,336.37, 3,502.06 and 1,164.06 is: 1,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.37 : 3,502.06 = 1,164.06 : x
  2. Step 2: Convert to fraction form
    2,336.37/3,502.06 = 1,164.06/x
  3. Step 3: Cross multiply
    2,336.37x = 3,502.06 × 1,164.06
  4. Step 4: Simplify right side
    2,336.37x = 4,076,627.41
  5. Step 5: Solve for x
    x = 4,076,627.41/2,336.37
  6. Step 6: Final answer
    x = 1,744.85

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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.