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Finding the Fourth Proportional to 2,021.76, 3,032.16 and 788.64

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Solution

The fourth proportional to 2,021.76, 3,032.16 and 788.64 is: 1,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.76 : 3,032.16 = 788.64 : x
  2. Step 2: Convert to fraction form
    2,021.76/3,032.16 = 788.64/x
  3. Step 3: Cross multiply
    2,021.76x = 3,032.16 × 788.64
  4. Step 4: Simplify right side
    2,021.76x = 2,391,282.66
  5. Step 5: Solve for x
    x = 2,391,282.66/2,021.76
  6. Step 6: Final answer
    x = 1,182.77

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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.