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Finding the Fourth Proportional to 2,543.52, 3,817.20 and 1,004.64

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Solution

The fourth proportional to 2,543.52, 3,817.20 and 1,004.64 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.52 : 3,817.20 = 1,004.64 : x
  2. Step 2: Convert to fraction form
    2,543.52/3,817.20 = 1,004.64/x
  3. Step 3: Cross multiply
    2,543.52x = 3,817.20 × 1,004.64
  4. Step 4: Simplify right side
    2,543.52x = 3,834,911.81
  5. Step 5: Solve for x
    x = 3,834,911.81/2,543.52
  6. Step 6: Final answer
    x = 1,507.72

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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.