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Finding the Fourth Proportional to 2,185.79, 3,279.30 and 953.31

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Solution

The fourth proportional to 2,185.79, 3,279.30 and 953.31 is: 1,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.79 : 3,279.30 = 953.31 : x
  2. Step 2: Convert to fraction form
    2,185.79/3,279.30 = 953.31/x
  3. Step 3: Cross multiply
    2,185.79x = 3,279.30 × 953.31
  4. Step 4: Simplify right side
    2,185.79x = 3,126,184.72
  5. Step 5: Solve for x
    x = 3,126,184.72/2,185.79
  6. Step 6: Final answer
    x = 1,430.23

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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.