Home / 1,827.06-2,738.06-1,582.98

Finding the Fourth Proportional to 1,827.06, 2,738.06 and 1,582.98

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Solution

The fourth proportional to 1,827.06, 2,738.06 and 1,582.98 is: 2,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.06 : 2,738.06 = 1,582.98 : x
  2. Step 2: Convert to fraction form
    1,827.06/2,738.06 = 1,582.98/x
  3. Step 3: Cross multiply
    1,827.06x = 2,738.06 × 1,582.98
  4. Step 4: Simplify right side
    1,827.06x = 4,334,294.22
  5. Step 5: Solve for x
    x = 4,334,294.22/1,827.06
  6. Step 6: Final answer
    x = 2,372.28

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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.