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Finding the Fourth Proportional to 1,873.09, 2,585.48 and 1,278.50

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Solution

The fourth proportional to 1,873.09, 2,585.48 and 1,278.50 is: 1,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.09 : 2,585.48 = 1,278.50 : x
  2. Step 2: Convert to fraction form
    1,873.09/2,585.48 = 1,278.50/x
  3. Step 3: Cross multiply
    1,873.09x = 2,585.48 × 1,278.50
  4. Step 4: Simplify right side
    1,873.09x = 3,305,529.49
  5. Step 5: Solve for x
    x = 3,305,529.49/1,873.09
  6. Step 6: Final answer
    x = 1,764.75

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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.