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Finding the Fourth Proportional to 2,932.79, 4,047.14 and 1,674.24

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Solution

The fourth proportional to 2,932.79, 4,047.14 and 1,674.24 is: 2,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.79 : 4,047.14 = 1,674.24 : x
  2. Step 2: Convert to fraction form
    2,932.79/4,047.14 = 1,674.24/x
  3. Step 3: Cross multiply
    2,932.79x = 4,047.14 × 1,674.24
  4. Step 4: Simplify right side
    2,932.79x = 6,775,875.30
  5. Step 5: Solve for x
    x = 6,775,875.30/2,932.79
  6. Step 6: Final answer
    x = 2,310.39

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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.