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Finding the Fourth Proportional to 2,906.48, 4,010.95 and 1,580.18

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Solution

The fourth proportional to 2,906.48, 4,010.95 and 1,580.18 is: 2,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.48 : 4,010.95 = 1,580.18 : x
  2. Step 2: Convert to fraction form
    2,906.48/4,010.95 = 1,580.18/x
  3. Step 3: Cross multiply
    2,906.48x = 4,010.95 × 1,580.18
  4. Step 4: Simplify right side
    2,906.48x = 6,338,015.07
  5. Step 5: Solve for x
    x = 6,338,015.07/2,906.48
  6. Step 6: Final answer
    x = 2,180.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.