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Finding the Fourth Proportional to 2,694.56, 4,041.84 and 1,156.64

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Solution

The fourth proportional to 2,694.56, 4,041.84 and 1,156.64 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.56 : 4,041.84 = 1,156.64 : x
  2. Step 2: Convert to fraction form
    2,694.56/4,041.84 = 1,156.64/x
  3. Step 3: Cross multiply
    2,694.56x = 4,041.84 × 1,156.64
  4. Step 4: Simplify right side
    2,694.56x = 4,674,953.82
  5. Step 5: Solve for x
    x = 4,674,953.82/2,694.56
  6. Step 6: Final answer
    x = 1,734.96

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Why These Related Problems?

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