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Finding the Fourth Proportional to 1,878.21, 2,816.72 and 782.31

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Solution

The fourth proportional to 1,878.21, 2,816.72 and 782.31 is: 1,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.21 : 2,816.72 = 782.31 : x
  2. Step 2: Convert to fraction form
    1,878.21/2,816.72 = 782.31/x
  3. Step 3: Cross multiply
    1,878.21x = 2,816.72 × 782.31
  4. Step 4: Simplify right side
    1,878.21x = 2,203,546.36
  5. Step 5: Solve for x
    x = 2,203,546.36/1,878.21
  6. Step 6: Final answer
    x = 1,173.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.