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Finding the Fourth Proportional to 1,529.82, 2,111.13 and 940.50

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Solution

The fourth proportional to 1,529.82, 2,111.13 and 940.50 is: 1,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.82 : 2,111.13 = 940.50 : x
  2. Step 2: Convert to fraction form
    1,529.82/2,111.13 = 940.50/x
  3. Step 3: Cross multiply
    1,529.82x = 2,111.13 × 940.50
  4. Step 4: Simplify right side
    1,529.82x = 1,985,517.77
  5. Step 5: Solve for x
    x = 1,985,517.77/1,529.82
  6. Step 6: Final answer
    x = 1,297.88

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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.