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Finding the Fourth Proportional to 2,613.02, 3,913.77 and 1,584.86

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Solution

The fourth proportional to 2,613.02, 3,913.77 and 1,584.86 is: 2,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.02 : 3,913.77 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    2,613.02/3,913.77 = 1,584.86/x
  3. Step 3: Cross multiply
    2,613.02x = 3,913.77 × 1,584.86
  4. Step 4: Simplify right side
    2,613.02x = 6,202,777.52
  5. Step 5: Solve for x
    x = 6,202,777.52/2,613.02
  6. Step 6: Final answer
    x = 2,373.80

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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.