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Finding the Fourth Proportional to 2,045.01, 3,068.03 and 812.01

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Solution

The fourth proportional to 2,045.01, 3,068.03 and 812.01 is: 1,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.01 : 3,068.03 = 812.01 : x
  2. Step 2: Convert to fraction form
    2,045.01/3,068.03 = 812.01/x
  3. Step 3: Cross multiply
    2,045.01x = 3,068.03 × 812.01
  4. Step 4: Simplify right side
    2,045.01x = 2,491,271.04
  5. Step 5: Solve for x
    x = 2,491,271.04/2,045.01
  6. Step 6: Final answer
    x = 1,218.22

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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.