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Finding the Fourth Proportional to 1,528.47, 2,109.26 and 865.31

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Solution

The fourth proportional to 1,528.47, 2,109.26 and 865.31 is: 1,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.47 : 2,109.26 = 865.31 : x
  2. Step 2: Convert to fraction form
    1,528.47/2,109.26 = 865.31/x
  3. Step 3: Cross multiply
    1,528.47x = 2,109.26 × 865.31
  4. Step 4: Simplify right side
    1,528.47x = 1,825,148.90
  5. Step 5: Solve for x
    x = 1,825,148.90/1,528.47
  6. Step 6: Final answer
    x = 1,194.10

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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.