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Finding the Fourth Proportional to 2,455.47, 3,683.54 and 895.27

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Solution

The fourth proportional to 2,455.47, 3,683.54 and 895.27 is: 1,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.47 : 3,683.54 = 895.27 : x
  2. Step 2: Convert to fraction form
    2,455.47/3,683.54 = 895.27/x
  3. Step 3: Cross multiply
    2,455.47x = 3,683.54 × 895.27
  4. Step 4: Simplify right side
    2,455.47x = 3,297,762.86
  5. Step 5: Solve for x
    x = 3,297,762.86/2,455.47
  6. Step 6: Final answer
    x = 1,343.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.