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Finding the Fourth Proportional to 2,668.88, 3,683.68 and 1,785.04

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Solution

The fourth proportional to 2,668.88, 3,683.68 and 1,785.04 is: 2,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.88 : 3,683.68 = 1,785.04 : x
  2. Step 2: Convert to fraction form
    2,668.88/3,683.68 = 1,785.04/x
  3. Step 3: Cross multiply
    2,668.88x = 3,683.68 × 1,785.04
  4. Step 4: Simplify right side
    2,668.88x = 6,575,516.15
  5. Step 5: Solve for x
    x = 6,575,516.15/2,668.88
  6. Step 6: Final answer
    x = 2,463.77

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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.