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Finding the Fourth Proportional to 3,464.06, 4,780.22 and 1,971.77

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Solution

The fourth proportional to 3,464.06, 4,780.22 and 1,971.77 is: 2,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.06 : 4,780.22 = 1,971.77 : x
  2. Step 2: Convert to fraction form
    3,464.06/4,780.22 = 1,971.77/x
  3. Step 3: Cross multiply
    3,464.06x = 4,780.22 × 1,971.77
  4. Step 4: Simplify right side
    3,464.06x = 9,425,460.63
  5. Step 5: Solve for x
    x = 9,425,460.63/3,464.06
  6. Step 6: Final answer
    x = 2,720.93

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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.