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Finding the Fourth Proportional to 1,530.41, 2,111.80 and 867.25

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Solution

The fourth proportional to 1,530.41, 2,111.80 and 867.25 is: 1,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.41 : 2,111.80 = 867.25 : x
  2. Step 2: Convert to fraction form
    1,530.41/2,111.80 = 867.25/x
  3. Step 3: Cross multiply
    1,530.41x = 2,111.80 × 867.25
  4. Step 4: Simplify right side
    1,530.41x = 1,831,458.55
  5. Step 5: Solve for x
    x = 1,831,458.55/1,530.41
  6. Step 6: Final answer
    x = 1,196.71

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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.