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Finding the Fourth Proportional to 1,873.20, 2,583.48 and 1,648.64

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Solution

The fourth proportional to 1,873.20, 2,583.48 and 1,648.64 is: 2,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.20 : 2,583.48 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    1,873.20/2,583.48 = 1,648.64/x
  3. Step 3: Cross multiply
    1,873.20x = 2,583.48 × 1,648.64
  4. Step 4: Simplify right side
    1,873.20x = 4,259,228.47
  5. Step 5: Solve for x
    x = 4,259,228.47/1,873.20
  6. Step 6: Final answer
    x = 2,273.77

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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.