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Finding the Fourth Proportional to 1,849.63, 2,552.49 and 1,021.63

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Solution

The fourth proportional to 1,849.63, 2,552.49 and 1,021.63 is: 1,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.63 : 2,552.49 = 1,021.63 : x
  2. Step 2: Convert to fraction form
    1,849.63/2,552.49 = 1,021.63/x
  3. Step 3: Cross multiply
    1,849.63x = 2,552.49 × 1,021.63
  4. Step 4: Simplify right side
    1,849.63x = 2,607,682.49
  5. Step 5: Solve for x
    x = 2,607,682.49/1,849.63
  6. Step 6: Final answer
    x = 1,409.84

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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.