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Finding the Fourth Proportional to 2,045.22, 2,804.06 and 2,008.35

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Solution

The fourth proportional to 2,045.22, 2,804.06 and 2,008.35 is: 2,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.22 : 2,804.06 = 2,008.35 : x
  2. Step 2: Convert to fraction form
    2,045.22/2,804.06 = 2,008.35/x
  3. Step 3: Cross multiply
    2,045.22x = 2,804.06 × 2,008.35
  4. Step 4: Simplify right side
    2,045.22x = 5,631,523.86
  5. Step 5: Solve for x
    x = 5,631,523.86/2,045.22
  6. Step 6: Final answer
    x = 2,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.