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Finding the Fourth Proportional to 1,901.97, 2,625.22 and 1,156.34

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Solution

The fourth proportional to 1,901.97, 2,625.22 and 1,156.34 is: 1,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.97 : 2,625.22 = 1,156.34 : x
  2. Step 2: Convert to fraction form
    1,901.97/2,625.22 = 1,156.34/x
  3. Step 3: Cross multiply
    1,901.97x = 2,625.22 × 1,156.34
  4. Step 4: Simplify right side
    1,901.97x = 3,035,633.77
  5. Step 5: Solve for x
    x = 3,035,633.77/1,901.97
  6. Step 6: Final answer
    x = 1,596.05

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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.