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Finding the Fourth Proportional to 2,668.96, 3,683.01 and 1,490.02

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Solution

The fourth proportional to 2,668.96, 3,683.01 and 1,490.02 is: 2,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.96 : 3,683.01 = 1,490.02 : x
  2. Step 2: Convert to fraction form
    2,668.96/3,683.01 = 1,490.02/x
  3. Step 3: Cross multiply
    2,668.96x = 3,683.01 × 1,490.02
  4. Step 4: Simplify right side
    2,668.96x = 5,487,758.56
  5. Step 5: Solve for x
    x = 5,487,758.56/2,668.96
  6. Step 6: Final answer
    x = 2,056.14

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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.