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Finding the Fourth Proportional to 2,088.85, 2,883.24 and 1,205.23

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Solution

The fourth proportional to 2,088.85, 2,883.24 and 1,205.23 is: 1,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.85 : 2,883.24 = 1,205.23 : x
  2. Step 2: Convert to fraction form
    2,088.85/2,883.24 = 1,205.23/x
  3. Step 3: Cross multiply
    2,088.85x = 2,883.24 × 1,205.23
  4. Step 4: Simplify right side
    2,088.85x = 3,474,967.35
  5. Step 5: Solve for x
    x = 3,474,967.35/2,088.85
  6. Step 6: Final answer
    x = 1,663.58

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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.