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Finding the Fourth Proportional to 2,444.94, 3,668.61 and 1,520.28

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Solution

The fourth proportional to 2,444.94, 3,668.61 and 1,520.28 is: 2,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.94 : 3,668.61 = 1,520.28 : x
  2. Step 2: Convert to fraction form
    2,444.94/3,668.61 = 1,520.28/x
  3. Step 3: Cross multiply
    2,444.94x = 3,668.61 × 1,520.28
  4. Step 4: Simplify right side
    2,444.94x = 5,577,314.41
  5. Step 5: Solve for x
    x = 5,577,314.41/2,444.94
  6. Step 6: Final answer
    x = 2,281.17

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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.