Home / 2,142.18-3,214.08-844.56

Finding the Fourth Proportional to 2,142.18, 3,214.08 and 844.56

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Solution

The fourth proportional to 2,142.18, 3,214.08 and 844.56 is: 1,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.18 : 3,214.08 = 844.56 : x
  2. Step 2: Convert to fraction form
    2,142.18/3,214.08 = 844.56/x
  3. Step 3: Cross multiply
    2,142.18x = 3,214.08 × 844.56
  4. Step 4: Simplify right side
    2,142.18x = 2,714,483.40
  5. Step 5: Solve for x
    x = 2,714,483.40/2,142.18
  6. Step 6: Final answer
    x = 1,267.16

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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.