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Finding the Fourth Proportional to 2,668.97, 3,683.15 and 1,490.05

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Solution

The fourth proportional to 2,668.97, 3,683.15 and 1,490.05 is: 2,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.97 : 3,683.15 = 1,490.05 : x
  2. Step 2: Convert to fraction form
    2,668.97/3,683.15 = 1,490.05/x
  3. Step 3: Cross multiply
    2,668.97x = 3,683.15 × 1,490.05
  4. Step 4: Simplify right side
    2,668.97x = 5,488,070.21
  5. Step 5: Solve for x
    x = 5,488,070.21/2,668.97
  6. Step 6: Final answer
    x = 2,056.25

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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.