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Finding the Fourth Proportional to 3,071.51, 4,606.65 and 879.65

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Solution

The fourth proportional to 3,071.51, 4,606.65 and 879.65 is: 1,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.51 : 4,606.65 = 879.65 : x
  2. Step 2: Convert to fraction form
    3,071.51/4,606.65 = 879.65/x
  3. Step 3: Cross multiply
    3,071.51x = 4,606.65 × 879.65
  4. Step 4: Simplify right side
    3,071.51x = 4,052,216.64
  5. Step 5: Solve for x
    x = 4,052,216.64/3,071.51
  6. Step 6: Final answer
    x = 1,319.29

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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.