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Finding the Fourth Proportional to 1,778.94, 2,663.85 and 1,316.02

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Solution

The fourth proportional to 1,778.94, 2,663.85 and 1,316.02 is: 1,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.94 : 2,663.85 = 1,316.02 : x
  2. Step 2: Convert to fraction form
    1,778.94/2,663.85 = 1,316.02/x
  3. Step 3: Cross multiply
    1,778.94x = 2,663.85 × 1,316.02
  4. Step 4: Simplify right side
    1,778.94x = 3,505,679.88
  5. Step 5: Solve for x
    x = 3,505,679.88/1,778.94
  6. Step 6: Final answer
    x = 1,970.66

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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.