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Finding the Fourth Proportional to 1,901.84, 2,625.29 and 1,193.49

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Solution

The fourth proportional to 1,901.84, 2,625.29 and 1,193.49 is: 1,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.84 : 2,625.29 = 1,193.49 : x
  2. Step 2: Convert to fraction form
    1,901.84/2,625.29 = 1,193.49/x
  3. Step 3: Cross multiply
    1,901.84x = 2,625.29 × 1,193.49
  4. Step 4: Simplify right side
    1,901.84x = 3,133,255.87
  5. Step 5: Solve for x
    x = 3,133,255.87/1,901.84
  6. Step 6: Final answer
    x = 1,647.49

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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.