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Finding the Fourth Proportional to 2,187.60, 3,268.74 and 1,842

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Solution

The fourth proportional to 2,187.60, 3,268.74 and 1,842 is: 2,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.60 : 3,268.74 = 1,842 : x
  2. Step 2: Convert to fraction form
    2,187.60/3,268.74 = 1,842/x
  3. Step 3: Cross multiply
    2,187.60x = 3,268.74 × 1,842
  4. Step 4: Simplify right side
    2,187.60x = 6,021,019.08
  5. Step 5: Solve for x
    x = 6,021,019.08/2,187.60
  6. Step 6: Final answer
    x = 2,752.34

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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.