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Finding the Fourth Proportional to 2,879.75, 4,297.16 and 2,569.47

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Solution

The fourth proportional to 2,879.75, 4,297.16 and 2,569.47 is: 3,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.75 : 4,297.16 = 2,569.47 : x
  2. Step 2: Convert to fraction form
    2,879.75/4,297.16 = 2,569.47/x
  3. Step 3: Cross multiply
    2,879.75x = 4,297.16 × 2,569.47
  4. Step 4: Simplify right side
    2,879.75x = 11,041,430.13
  5. Step 5: Solve for x
    x = 11,041,430.13/2,879.75
  6. Step 6: Final answer
    x = 3,834.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.