Home / 2,028.16-3,042.51-712.05

Finding the Fourth Proportional to 2,028.16, 3,042.51 and 712.05

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Solution

The fourth proportional to 2,028.16, 3,042.51 and 712.05 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.16 : 3,042.51 = 712.05 : x
  2. Step 2: Convert to fraction form
    2,028.16/3,042.51 = 712.05/x
  3. Step 3: Cross multiply
    2,028.16x = 3,042.51 × 712.05
  4. Step 4: Simplify right side
    2,028.16x = 2,166,419.25
  5. Step 5: Solve for x
    x = 2,166,419.25/2,028.16
  6. Step 6: Final answer
    x = 1,068.17

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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.