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Finding the Fourth Proportional to 2,917.96, 4,028.32 and 1,924.88

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Solution

The fourth proportional to 2,917.96, 4,028.32 and 1,924.88 is: 2,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.96 : 4,028.32 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    2,917.96/4,028.32 = 1,924.88/x
  3. Step 3: Cross multiply
    2,917.96x = 4,028.32 × 1,924.88
  4. Step 4: Simplify right side
    2,917.96x = 7,754,032.60
  5. Step 5: Solve for x
    x = 7,754,032.60/2,917.96
  6. Step 6: Final answer
    x = 2,657.35

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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.