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Finding the Fourth Proportional to 2,842.76, 3,923.29 and 1,584.02

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Solution

The fourth proportional to 2,842.76, 3,923.29 and 1,584.02 is: 2,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.76 : 3,923.29 = 1,584.02 : x
  2. Step 2: Convert to fraction form
    2,842.76/3,923.29 = 1,584.02/x
  3. Step 3: Cross multiply
    2,842.76x = 3,923.29 × 1,584.02
  4. Step 4: Simplify right side
    2,842.76x = 6,214,550.21
  5. Step 5: Solve for x
    x = 6,214,550.21/2,842.76
  6. Step 6: Final answer
    x = 2,186.10

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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.