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Finding the Fourth Proportional to 2,187.68, 3,264.60 and 1,954.06

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Solution

The fourth proportional to 2,187.68, 3,264.60 and 1,954.06 is: 2,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.68 : 3,264.60 = 1,954.06 : x
  2. Step 2: Convert to fraction form
    2,187.68/3,264.60 = 1,954.06/x
  3. Step 3: Cross multiply
    2,187.68x = 3,264.60 × 1,954.06
  4. Step 4: Simplify right side
    2,187.68x = 6,379,224.28
  5. Step 5: Solve for x
    x = 6,379,224.28/2,187.68
  6. Step 6: Final answer
    x = 2,915.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.