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Finding the Fourth Proportional to 1,536.61, 2,119.84 and 1,039.07

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Solution

The fourth proportional to 1,536.61, 2,119.84 and 1,039.07 is: 1,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.61 : 2,119.84 = 1,039.07 : x
  2. Step 2: Convert to fraction form
    1,536.61/2,119.84 = 1,039.07/x
  3. Step 3: Cross multiply
    1,536.61x = 2,119.84 × 1,039.07
  4. Step 4: Simplify right side
    1,536.61x = 2,202,651.55
  5. Step 5: Solve for x
    x = 2,202,651.55/1,536.61
  6. Step 6: Final answer
    x = 1,433.45

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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.