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Finding the Fourth Proportional to 2,229.85, 3,078.21 and 1,345.51

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Solution

The fourth proportional to 2,229.85, 3,078.21 and 1,345.51 is: 1,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.85 : 3,078.21 = 1,345.51 : x
  2. Step 2: Convert to fraction form
    2,229.85/3,078.21 = 1,345.51/x
  3. Step 3: Cross multiply
    2,229.85x = 3,078.21 × 1,345.51
  4. Step 4: Simplify right side
    2,229.85x = 4,141,762.34
  5. Step 5: Solve for x
    x = 4,141,762.34/2,229.85
  6. Step 6: Final answer
    x = 1,857.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.