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Finding the Fourth Proportional to 2,929.86, 4,394.88 and 2,003.22

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Solution

The fourth proportional to 2,929.86, 4,394.88 and 2,003.22 is: 3,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.86 : 4,394.88 = 2,003.22 : x
  2. Step 2: Convert to fraction form
    2,929.86/4,394.88 = 2,003.22/x
  3. Step 3: Cross multiply
    2,929.86x = 4,394.88 × 2,003.22
  4. Step 4: Simplify right side
    2,929.86x = 8,803,911.51
  5. Step 5: Solve for x
    x = 8,803,911.51/2,929.86
  6. Step 6: Final answer
    x = 3,004.89

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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.