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Finding the Fourth Proportional to 2,559.47, 3,533.82 and 1,960.91

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Solution

The fourth proportional to 2,559.47, 3,533.82 and 1,960.91 is: 2,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.47 : 3,533.82 = 1,960.91 : x
  2. Step 2: Convert to fraction form
    2,559.47/3,533.82 = 1,960.91/x
  3. Step 3: Cross multiply
    2,559.47x = 3,533.82 × 1,960.91
  4. Step 4: Simplify right side
    2,559.47x = 6,929,502.98
  5. Step 5: Solve for x
    x = 6,929,502.98/2,559.47
  6. Step 6: Final answer
    x = 2,707.40

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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.