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Finding the Fourth Proportional to 1,536.57, 2,119.77 and 1,039.64

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Solution

The fourth proportional to 1,536.57, 2,119.77 and 1,039.64 is: 1,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.57 : 2,119.77 = 1,039.64 : x
  2. Step 2: Convert to fraction form
    1,536.57/2,119.77 = 1,039.64/x
  3. Step 3: Cross multiply
    1,536.57x = 2,119.77 × 1,039.64
  4. Step 4: Simplify right side
    1,536.57x = 2,203,787.08
  5. Step 5: Solve for x
    x = 2,203,787.08/1,536.57
  6. Step 6: Final answer
    x = 1,434.22

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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.