Home / 2,026.15-3,031.64-1,442.49

Finding the Fourth Proportional to 2,026.15, 3,031.64 and 1,442.49

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Solution

The fourth proportional to 2,026.15, 3,031.64 and 1,442.49 is: 2,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.15 : 3,031.64 = 1,442.49 : x
  2. Step 2: Convert to fraction form
    2,026.15/3,031.64 = 1,442.49/x
  3. Step 3: Cross multiply
    2,026.15x = 3,031.64 × 1,442.49
  4. Step 4: Simplify right side
    2,026.15x = 4,373,110.21
  5. Step 5: Solve for x
    x = 4,373,110.21/2,026.15
  6. Step 6: Final answer
    x = 2,158.34

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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.