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Finding the Fourth Proportional to 2,804.56, 4,207.38 and 955.78

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Solution

The fourth proportional to 2,804.56, 4,207.38 and 955.78 is: 1,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.56 : 4,207.38 = 955.78 : x
  2. Step 2: Convert to fraction form
    2,804.56/4,207.38 = 955.78/x
  3. Step 3: Cross multiply
    2,804.56x = 4,207.38 × 955.78
  4. Step 4: Simplify right side
    2,804.56x = 4,021,303.84
  5. Step 5: Solve for x
    x = 4,021,303.84/2,804.56
  6. Step 6: Final answer
    x = 1,433.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.