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Finding the Fourth Proportional to 3,464.63, 4,780.56 and 2,048.56

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Solution

The fourth proportional to 3,464.63, 4,780.56 and 2,048.56 is: 2,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.63 : 4,780.56 = 2,048.56 : x
  2. Step 2: Convert to fraction form
    3,464.63/4,780.56 = 2,048.56/x
  3. Step 3: Cross multiply
    3,464.63x = 4,780.56 × 2,048.56
  4. Step 4: Simplify right side
    3,464.63x = 9,793,263.99
  5. Step 5: Solve for x
    x = 9,793,263.99/3,464.63
  6. Step 6: Final answer
    x = 2,826.64

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