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Finding the Fourth Proportional to 2,455.19, 3,683.47 and 812.89

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Solution

The fourth proportional to 2,455.19, 3,683.47 and 812.89 is: 1,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.19 : 3,683.47 = 812.89 : x
  2. Step 2: Convert to fraction form
    2,455.19/3,683.47 = 812.89/x
  3. Step 3: Cross multiply
    2,455.19x = 3,683.47 × 812.89
  4. Step 4: Simplify right side
    2,455.19x = 2,994,242.66
  5. Step 5: Solve for x
    x = 2,994,242.66/2,455.19
  6. Step 6: Final answer
    x = 1,219.56

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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.