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Finding the Fourth Proportional to 2,128.53, 3,193.31 and 1,088.49

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Solution

The fourth proportional to 2,128.53, 3,193.31 and 1,088.49 is: 1,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.53 : 3,193.31 = 1,088.49 : x
  2. Step 2: Convert to fraction form
    2,128.53/3,193.31 = 1,088.49/x
  3. Step 3: Cross multiply
    2,128.53x = 3,193.31 × 1,088.49
  4. Step 4: Simplify right side
    2,128.53x = 3,475,886.00
  5. Step 5: Solve for x
    x = 3,475,886.00/2,128.53
  6. Step 6: Final answer
    x = 1,633.00

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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.