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Finding the Fourth Proportional to 3,089.74, 4,262.95 and 1,894.33

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Solution

The fourth proportional to 3,089.74, 4,262.95 and 1,894.33 is: 2,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.74 : 4,262.95 = 1,894.33 : x
  2. Step 2: Convert to fraction form
    3,089.74/4,262.95 = 1,894.33/x
  3. Step 3: Cross multiply
    3,089.74x = 4,262.95 × 1,894.33
  4. Step 4: Simplify right side
    3,089.74x = 8,075,418.68
  5. Step 5: Solve for x
    x = 8,075,418.68/3,089.74
  6. Step 6: Final answer
    x = 2,613.63

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