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Finding the Fourth Proportional to 1,536.40, 2,304.62 and 382.15

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Solution

The fourth proportional to 1,536.40, 2,304.62 and 382.15 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.40 : 2,304.62 = 382.15 : x
  2. Step 2: Convert to fraction form
    1,536.40/2,304.62 = 382.15/x
  3. Step 3: Cross multiply
    1,536.40x = 2,304.62 × 382.15
  4. Step 4: Simplify right side
    1,536.40x = 880,697.10
  5. Step 5: Solve for x
    x = 880,697.10/1,536.40
  6. Step 6: Final answer
    x = 573.22

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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.