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Finding the Fourth Proportional to 1,530.69, 2,112.20 and 867.41

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Solution

The fourth proportional to 1,530.69, 2,112.20 and 867.41 is: 1,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.69 : 2,112.20 = 867.41 : x
  2. Step 2: Convert to fraction form
    1,530.69/2,112.20 = 867.41/x
  3. Step 3: Cross multiply
    1,530.69x = 2,112.20 × 867.41
  4. Step 4: Simplify right side
    1,530.69x = 1,832,143.40
  5. Step 5: Solve for x
    x = 1,832,143.40/1,530.69
  6. Step 6: Final answer
    x = 1,196.94

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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.