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Finding the Fourth Proportional to 1,956.64, 2,701.24 and 1,504.88

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Solution

The fourth proportional to 1,956.64, 2,701.24 and 1,504.88 is: 2,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.64 : 2,701.24 = 1,504.88 : x
  2. Step 2: Convert to fraction form
    1,956.64/2,701.24 = 1,504.88/x
  3. Step 3: Cross multiply
    1,956.64x = 2,701.24 × 1,504.88
  4. Step 4: Simplify right side
    1,956.64x = 4,065,042.05
  5. Step 5: Solve for x
    x = 4,065,042.05/1,956.64
  6. Step 6: Final answer
    x = 2,077.56

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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.