Home / 2,098.08-3,142.92-1,054.98

Finding the Fourth Proportional to 2,098.08, 3,142.92 and 1,054.98

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Solution

The fourth proportional to 2,098.08, 3,142.92 and 1,054.98 is: 1,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.08 : 3,142.92 = 1,054.98 : x
  2. Step 2: Convert to fraction form
    2,098.08/3,142.92 = 1,054.98/x
  3. Step 3: Cross multiply
    2,098.08x = 3,142.92 × 1,054.98
  4. Step 4: Simplify right side
    2,098.08x = 3,315,717.74
  5. Step 5: Solve for x
    x = 3,315,717.74/2,098.08
  6. Step 6: Final answer
    x = 1,580.36

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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.