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Finding the Fourth Proportional to 2,879.96, 4,316.70 and 1,416.02

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Solution

The fourth proportional to 2,879.96, 4,316.70 and 1,416.02 is: 2,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.96 : 4,316.70 = 1,416.02 : x
  2. Step 2: Convert to fraction form
    2,879.96/4,316.70 = 1,416.02/x
  3. Step 3: Cross multiply
    2,879.96x = 4,316.70 × 1,416.02
  4. Step 4: Simplify right side
    2,879.96x = 6,112,533.53
  5. Step 5: Solve for x
    x = 6,112,533.53/2,879.96
  6. Step 6: Final answer
    x = 2,122.44

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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.