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Finding the Fourth Proportional to 2,065.23, 2,848.58 and 1,278.81

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Solution

The fourth proportional to 2,065.23, 2,848.58 and 1,278.81 is: 1,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.23 : 2,848.58 = 1,278.81 : x
  2. Step 2: Convert to fraction form
    2,065.23/2,848.58 = 1,278.81/x
  3. Step 3: Cross multiply
    2,065.23x = 2,848.58 × 1,278.81
  4. Step 4: Simplify right side
    2,065.23x = 3,642,786.20
  5. Step 5: Solve for x
    x = 3,642,786.20/2,065.23
  6. Step 6: Final answer
    x = 1,763.86

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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.