Home / 2,049.24-2,827.98-1,210.44

Finding the Fourth Proportional to 2,049.24, 2,827.98 and 1,210.44

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Solution

The fourth proportional to 2,049.24, 2,827.98 and 1,210.44 is: 1,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.24 : 2,827.98 = 1,210.44 : x
  2. Step 2: Convert to fraction form
    2,049.24/2,827.98 = 1,210.44/x
  3. Step 3: Cross multiply
    2,049.24x = 2,827.98 × 1,210.44
  4. Step 4: Simplify right side
    2,049.24x = 3,423,100.11
  5. Step 5: Solve for x
    x = 3,423,100.11/2,049.24
  6. Step 6: Final answer
    x = 1,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.