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Finding the Fourth Proportional to 1,836.71, 2,533.40 and 1,173.26

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Solution

The fourth proportional to 1,836.71, 2,533.40 and 1,173.26 is: 1,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.71 : 2,533.40 = 1,173.26 : x
  2. Step 2: Convert to fraction form
    1,836.71/2,533.40 = 1,173.26/x
  3. Step 3: Cross multiply
    1,836.71x = 2,533.40 × 1,173.26
  4. Step 4: Simplify right side
    1,836.71x = 2,972,337.35
  5. Step 5: Solve for x
    x = 2,972,337.35/1,836.71
  6. Step 6: Final answer
    x = 1,618.30

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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.