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Finding the Fourth Proportional to 2,742.93, 3,784.66 and 1,624.22

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Solution

The fourth proportional to 2,742.93, 3,784.66 and 1,624.22 is: 2,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.93 : 3,784.66 = 1,624.22 : x
  2. Step 2: Convert to fraction form
    2,742.93/3,784.66 = 1,624.22/x
  3. Step 3: Cross multiply
    2,742.93x = 3,784.66 × 1,624.22
  4. Step 4: Simplify right side
    2,742.93x = 6,147,111.67
  5. Step 5: Solve for x
    x = 6,147,111.67/2,742.93
  6. Step 6: Final answer
    x = 2,241.07

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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.