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Finding the Fourth Proportional to 4,781.95, 7,173.34 and 1,319.20

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Solution

The fourth proportional to 4,781.95, 7,173.34 and 1,319.20 is: 1,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.95 : 7,173.34 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    4,781.95/7,173.34 = 1,319.20/x
  3. Step 3: Cross multiply
    4,781.95x = 7,173.34 × 1,319.20
  4. Step 4: Simplify right side
    4,781.95x = 9,463,096.67
  5. Step 5: Solve for x
    x = 9,463,096.67/4,781.95
  6. Step 6: Final answer
    x = 1,978.92

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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.