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Finding the Fourth Proportional to 2,010.80, 3,013.77 and 1,461.62

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Solution

The fourth proportional to 2,010.80, 3,013.77 and 1,461.62 is: 2,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.80 : 3,013.77 = 1,461.62 : x
  2. Step 2: Convert to fraction form
    2,010.80/3,013.77 = 1,461.62/x
  3. Step 3: Cross multiply
    2,010.80x = 3,013.77 × 1,461.62
  4. Step 4: Simplify right side
    2,010.80x = 4,404,986.51
  5. Step 5: Solve for x
    x = 4,404,986.51/2,010.80
  6. Step 6: Final answer
    x = 2,190.66

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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.