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Finding the Fourth Proportional to 1,624.44, 2,436.39 and 454.53

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Solution

The fourth proportional to 1,624.44, 2,436.39 and 454.53 is: 681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.44 : 2,436.39 = 454.53 : x
  2. Step 2: Convert to fraction form
    1,624.44/2,436.39 = 454.53/x
  3. Step 3: Cross multiply
    1,624.44x = 2,436.39 × 454.53
  4. Step 4: Simplify right side
    1,624.44x = 1,107,412.35
  5. Step 5: Solve for x
    x = 1,107,412.35/1,624.44
  6. Step 6: Final answer
    x = 681.72

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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.