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Finding the Fourth Proportional to 1,529.28, 2,110.19 and 866.03

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Solution

The fourth proportional to 1,529.28, 2,110.19 and 866.03 is: 1,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.28 : 2,110.19 = 866.03 : x
  2. Step 2: Convert to fraction form
    1,529.28/2,110.19 = 866.03/x
  3. Step 3: Cross multiply
    1,529.28x = 2,110.19 × 866.03
  4. Step 4: Simplify right side
    1,529.28x = 1,827,472.96
  5. Step 5: Solve for x
    x = 1,827,472.96/1,529.28
  6. Step 6: Final answer
    x = 1,194.99

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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.