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Finding the Fourth Proportional to 1,536.41, 2,305.92 and 612.62

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Solution

The fourth proportional to 1,536.41, 2,305.92 and 612.62 is: 919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.41 : 2,305.92 = 612.62 : x
  2. Step 2: Convert to fraction form
    1,536.41/2,305.92 = 612.62/x
  3. Step 3: Cross multiply
    1,536.41x = 2,305.92 × 612.62
  4. Step 4: Simplify right side
    1,536.41x = 1,412,641.18
  5. Step 5: Solve for x
    x = 1,412,641.18/1,536.41
  6. Step 6: Final answer
    x = 919.45

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