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Finding the Fourth Proportional to 2,842.93, 3,923.55 and 1,664.99

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Solution

The fourth proportional to 2,842.93, 3,923.55 and 1,664.99 is: 2,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.93 : 3,923.55 = 1,664.99 : x
  2. Step 2: Convert to fraction form
    2,842.93/3,923.55 = 1,664.99/x
  3. Step 3: Cross multiply
    2,842.93x = 3,923.55 × 1,664.99
  4. Step 4: Simplify right side
    2,842.93x = 6,532,671.51
  5. Step 5: Solve for x
    x = 6,532,671.51/2,842.93
  6. Step 6: Final answer
    x = 2,297.87

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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.