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Finding the Fourth Proportional to 1,528.58, 2,109.81 and 865.82

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Solution

The fourth proportional to 1,528.58, 2,109.81 and 865.82 is: 1,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.58 : 2,109.81 = 865.82 : x
  2. Step 2: Convert to fraction form
    1,528.58/2,109.81 = 865.82/x
  3. Step 3: Cross multiply
    1,528.58x = 2,109.81 × 865.82
  4. Step 4: Simplify right side
    1,528.58x = 1,826,724.22
  5. Step 5: Solve for x
    x = 1,826,724.22/1,528.58
  6. Step 6: Final answer
    x = 1,195.05

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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.