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Finding the Fourth Proportional to 2,094.53, 3,141.88 and 778.63

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Solution

The fourth proportional to 2,094.53, 3,141.88 and 778.63 is: 1,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.53 : 3,141.88 = 778.63 : x
  2. Step 2: Convert to fraction form
    2,094.53/3,141.88 = 778.63/x
  3. Step 3: Cross multiply
    2,094.53x = 3,141.88 × 778.63
  4. Step 4: Simplify right side
    2,094.53x = 2,446,362.02
  5. Step 5: Solve for x
    x = 2,446,362.02/2,094.53
  6. Step 6: Final answer
    x = 1,167.98

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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.