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Finding the Fourth Proportional to 2,668.08, 3,681.60 and 1,488.96

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Solution

The fourth proportional to 2,668.08, 3,681.60 and 1,488.96 is: 2,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.08 : 3,681.60 = 1,488.96 : x
  2. Step 2: Convert to fraction form
    2,668.08/3,681.60 = 1,488.96/x
  3. Step 3: Cross multiply
    2,668.08x = 3,681.60 × 1,488.96
  4. Step 4: Simplify right side
    2,668.08x = 5,481,755.14
  5. Step 5: Solve for x
    x = 5,481,755.14/2,668.08
  6. Step 6: Final answer
    x = 2,054.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.