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Finding the Fourth Proportional to 2,124.61, 3,188.86 and 1,085.36

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Solution

The fourth proportional to 2,124.61, 3,188.86 and 1,085.36 is: 1,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.61 : 3,188.86 = 1,085.36 : x
  2. Step 2: Convert to fraction form
    2,124.61/3,188.86 = 1,085.36/x
  3. Step 3: Cross multiply
    2,124.61x = 3,188.86 × 1,085.36
  4. Step 4: Simplify right side
    2,124.61x = 3,461,042.43
  5. Step 5: Solve for x
    x = 3,461,042.43/2,124.61
  6. Step 6: Final answer
    x = 1,629.03

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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.