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Finding the Fourth Proportional to 2,090.71, 3,138.35 and 1,214.19

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Solution

The fourth proportional to 2,090.71, 3,138.35 and 1,214.19 is: 1,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.71 : 3,138.35 = 1,214.19 : x
  2. Step 2: Convert to fraction form
    2,090.71/3,138.35 = 1,214.19/x
  3. Step 3: Cross multiply
    2,090.71x = 3,138.35 × 1,214.19
  4. Step 4: Simplify right side
    2,090.71x = 3,810,547.12
  5. Step 5: Solve for x
    x = 3,810,547.12/2,090.71
  6. Step 6: Final answer
    x = 1,822.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.