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Finding the Fourth Proportional to 2,124.81, 3,185.82 and 1,085.31

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Solution

The fourth proportional to 2,124.81, 3,185.82 and 1,085.31 is: 1,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.81 : 3,185.82 = 1,085.31 : x
  2. Step 2: Convert to fraction form
    2,124.81/3,185.82 = 1,085.31/x
  3. Step 3: Cross multiply
    2,124.81x = 3,185.82 × 1,085.31
  4. Step 4: Simplify right side
    2,124.81x = 3,457,602.30
  5. Step 5: Solve for x
    x = 3,457,602.30/2,124.81
  6. Step 6: Final answer
    x = 1,627.25

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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.