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Finding the Fourth Proportional to 1,537.76, 2,120.43 and 1,039.53

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Solution

The fourth proportional to 1,537.76, 2,120.43 and 1,039.53 is: 1,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.76 : 2,120.43 = 1,039.53 : x
  2. Step 2: Convert to fraction form
    1,537.76/2,120.43 = 1,039.53/x
  3. Step 3: Cross multiply
    1,537.76x = 2,120.43 × 1,039.53
  4. Step 4: Simplify right side
    1,537.76x = 2,204,250.60
  5. Step 5: Solve for x
    x = 2,204,250.60/1,537.76
  6. Step 6: Final answer
    x = 1,433.42

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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.