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Finding the Fourth Proportional to 2,349.62, 3,245.99 and 1,543.98

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Solution

The fourth proportional to 2,349.62, 3,245.99 and 1,543.98 is: 2,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.62 : 3,245.99 = 1,543.98 : x
  2. Step 2: Convert to fraction form
    2,349.62/3,245.99 = 1,543.98/x
  3. Step 3: Cross multiply
    2,349.62x = 3,245.99 × 1,543.98
  4. Step 4: Simplify right side
    2,349.62x = 5,011,738.85
  5. Step 5: Solve for x
    x = 5,011,738.85/2,349.62
  6. Step 6: Final answer
    x = 2,133.00

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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.