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Finding the Fourth Proportional to 2,668.06, 3,681.48 and 1,549.18

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Solution

The fourth proportional to 2,668.06, 3,681.48 and 1,549.18 is: 2,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.06 : 3,681.48 = 1,549.18 : x
  2. Step 2: Convert to fraction form
    2,668.06/3,681.48 = 1,549.18/x
  3. Step 3: Cross multiply
    2,668.06x = 3,681.48 × 1,549.18
  4. Step 4: Simplify right side
    2,668.06x = 5,703,275.19
  5. Step 5: Solve for x
    x = 5,703,275.19/2,668.06
  6. Step 6: Final answer
    x = 2,137.61

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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.