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Finding the Fourth Proportional to 2,044.64, 3,068.70 and 812.93

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Solution

The fourth proportional to 2,044.64, 3,068.70 and 812.93 is: 1,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.64 : 3,068.70 = 812.93 : x
  2. Step 2: Convert to fraction form
    2,044.64/3,068.70 = 812.93/x
  3. Step 3: Cross multiply
    2,044.64x = 3,068.70 × 812.93
  4. Step 4: Simplify right side
    2,044.64x = 2,494,638.29
  5. Step 5: Solve for x
    x = 2,494,638.29/2,044.64
  6. Step 6: Final answer
    x = 1,220.09

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Why These Related Problems?

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