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Finding the Fourth Proportional to 2,045.34, 3,068.29 and 812.87

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Solution

The fourth proportional to 2,045.34, 3,068.29 and 812.87 is: 1,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.34 : 3,068.29 = 812.87 : x
  2. Step 2: Convert to fraction form
    2,045.34/3,068.29 = 812.87/x
  3. Step 3: Cross multiply
    2,045.34x = 3,068.29 × 812.87
  4. Step 4: Simplify right side
    2,045.34x = 2,494,120.89
  5. Step 5: Solve for x
    x = 2,494,120.89/2,045.34
  6. Step 6: Final answer
    x = 1,219.42

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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.