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Finding the Fourth Proportional to 2,543.47, 3,815.88 and 899.80

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Solution

The fourth proportional to 2,543.47, 3,815.88 and 899.80 is: 1,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.47 : 3,815.88 = 899.80 : x
  2. Step 2: Convert to fraction form
    2,543.47/3,815.88 = 899.80/x
  3. Step 3: Cross multiply
    2,543.47x = 3,815.88 × 899.80
  4. Step 4: Simplify right side
    2,543.47x = 3,433,528.82
  5. Step 5: Solve for x
    x = 3,433,528.82/2,543.47
  6. Step 6: Final answer
    x = 1,349.94

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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.