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Finding the Fourth Proportional to 1,536.23, 2,304.65 and 612.23

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Solution

The fourth proportional to 1,536.23, 2,304.65 and 612.23 is: 918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.23 : 2,304.65 = 612.23 : x
  2. Step 2: Convert to fraction form
    1,536.23/2,304.65 = 612.23/x
  3. Step 3: Cross multiply
    1,536.23x = 2,304.65 × 612.23
  4. Step 4: Simplify right side
    1,536.23x = 1,410,965.88
  5. Step 5: Solve for x
    x = 1,410,965.88/1,536.23
  6. Step 6: Final answer
    x = 918.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.