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Finding the Fourth Proportional to 2,002.47, 3,010.16 and 1,856.89

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Solution

The fourth proportional to 2,002.47, 3,010.16 and 1,856.89 is: 2,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.47 : 3,010.16 = 1,856.89 : x
  2. Step 2: Convert to fraction form
    2,002.47/3,010.16 = 1,856.89/x
  3. Step 3: Cross multiply
    2,002.47x = 3,010.16 × 1,856.89
  4. Step 4: Simplify right side
    2,002.47x = 5,589,526.72
  5. Step 5: Solve for x
    x = 5,589,526.72/2,002.47
  6. Step 6: Final answer
    x = 2,791.32

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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.