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Finding the Fourth Proportional to 1,622.15, 2,431.73 and 788.72

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Solution

The fourth proportional to 1,622.15, 2,431.73 and 788.72 is: 1,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.15 : 2,431.73 = 788.72 : x
  2. Step 2: Convert to fraction form
    1,622.15/2,431.73 = 788.72/x
  3. Step 3: Cross multiply
    1,622.15x = 2,431.73 × 788.72
  4. Step 4: Simplify right side
    1,622.15x = 1,917,954.09
  5. Step 5: Solve for x
    x = 1,917,954.09/1,622.15
  6. Step 6: Final answer
    x = 1,182.35

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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.