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Finding the Fourth Proportional to 2,430.27, 3,647.16 and 1,648.41

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Solution

The fourth proportional to 2,430.27, 3,647.16 and 1,648.41 is: 2,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.27 : 3,647.16 = 1,648.41 : x
  2. Step 2: Convert to fraction form
    2,430.27/3,647.16 = 1,648.41/x
  3. Step 3: Cross multiply
    2,430.27x = 3,647.16 × 1,648.41
  4. Step 4: Simplify right side
    2,430.27x = 6,012,015.02
  5. Step 5: Solve for x
    x = 6,012,015.02/2,430.27
  6. Step 6: Final answer
    x = 2,473.81

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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.