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Finding the Fourth Proportional to 1,536.74, 2,121.90 and 1,204.64

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Solution

The fourth proportional to 1,536.74, 2,121.90 and 1,204.64 is: 1,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.74 : 2,121.90 = 1,204.64 : x
  2. Step 2: Convert to fraction form
    1,536.74/2,121.90 = 1,204.64/x
  3. Step 3: Cross multiply
    1,536.74x = 2,121.90 × 1,204.64
  4. Step 4: Simplify right side
    1,536.74x = 2,556,125.62
  5. Step 5: Solve for x
    x = 2,556,125.62/1,536.74
  6. Step 6: Final answer
    x = 1,663.34

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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.