Home / 2,035.17-3,054.38-803.16

Finding the Fourth Proportional to 2,035.17, 3,054.38 and 803.16

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Solution

The fourth proportional to 2,035.17, 3,054.38 and 803.16 is: 1,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.17 : 3,054.38 = 803.16 : x
  2. Step 2: Convert to fraction form
    2,035.17/3,054.38 = 803.16/x
  3. Step 3: Cross multiply
    2,035.17x = 3,054.38 × 803.16
  4. Step 4: Simplify right side
    2,035.17x = 2,453,155.84
  5. Step 5: Solve for x
    x = 2,453,155.84/2,035.17
  6. Step 6: Final answer
    x = 1,205.38

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Why These Related Problems?

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