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Finding the Fourth Proportional to 1,529.07, 2,110.52 and 866.13

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Solution

The fourth proportional to 1,529.07, 2,110.52 and 866.13 is: 1,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.07 : 2,110.52 = 866.13 : x
  2. Step 2: Convert to fraction form
    1,529.07/2,110.52 = 866.13/x
  3. Step 3: Cross multiply
    1,529.07x = 2,110.52 × 866.13
  4. Step 4: Simplify right side
    1,529.07x = 1,827,984.69
  5. Step 5: Solve for x
    x = 1,827,984.69/1,529.07
  6. Step 6: Final answer
    x = 1,195.49

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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.