Home / 2,102.08-3,148.26-2,029.18

Finding the Fourth Proportional to 2,102.08, 3,148.26 and 2,029.18

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Solution

The fourth proportional to 2,102.08, 3,148.26 and 2,029.18 is: 3,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 3,148.26 = 2,029.18 : x
  2. Step 2: Convert to fraction form
    2,102.08/3,148.26 = 2,029.18/x
  3. Step 3: Cross multiply
    2,102.08x = 3,148.26 × 2,029.18
  4. Step 4: Simplify right side
    2,102.08x = 6,388,386.23
  5. Step 5: Solve for x
    x = 6,388,386.23/2,102.08
  6. Step 6: Final answer
    x = 3,039.08

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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.