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Finding the Fourth Proportional to 1,767.58, 2,439.14 and 1,348.20

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Solution

The fourth proportional to 1,767.58, 2,439.14 and 1,348.20 is: 1,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.58 : 2,439.14 = 1,348.20 : x
  2. Step 2: Convert to fraction form
    1,767.58/2,439.14 = 1,348.20/x
  3. Step 3: Cross multiply
    1,767.58x = 2,439.14 × 1,348.20
  4. Step 4: Simplify right side
    1,767.58x = 3,288,441.81
  5. Step 5: Solve for x
    x = 3,288,441.81/1,767.58
  6. Step 6: Final answer
    x = 1,860.42

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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.