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Finding the Fourth Proportional to 2,845.95, 4,269.76 and 1,460.25

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Solution

The fourth proportional to 2,845.95, 4,269.76 and 1,460.25 is: 2,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.95 : 4,269.76 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    2,845.95/4,269.76 = 1,460.25/x
  3. Step 3: Cross multiply
    2,845.95x = 4,269.76 × 1,460.25
  4. Step 4: Simplify right side
    2,845.95x = 6,234,917.04
  5. Step 5: Solve for x
    x = 6,234,917.04/2,845.95
  6. Step 6: Final answer
    x = 2,190.80

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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.