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Finding the Fourth Proportional to 2,408.52, 3,613.16 and 946.88

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Solution

The fourth proportional to 2,408.52, 3,613.16 and 946.88 is: 1,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.52 : 3,613.16 = 946.88 : x
  2. Step 2: Convert to fraction form
    2,408.52/3,613.16 = 946.88/x
  3. Step 3: Cross multiply
    2,408.52x = 3,613.16 × 946.88
  4. Step 4: Simplify right side
    2,408.52x = 3,421,228.94
  5. Step 5: Solve for x
    x = 3,421,228.94/2,408.52
  6. Step 6: Final answer
    x = 1,420.47

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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.