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Finding the Fourth Proportional to 2,416.75, 3,625.12 and 956.25

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Solution

The fourth proportional to 2,416.75, 3,625.12 and 956.25 is: 1,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.75 : 3,625.12 = 956.25 : x
  2. Step 2: Convert to fraction form
    2,416.75/3,625.12 = 956.25/x
  3. Step 3: Cross multiply
    2,416.75x = 3,625.12 × 956.25
  4. Step 4: Simplify right side
    2,416.75x = 3,466,521
  5. Step 5: Solve for x
    x = 3,466,521/2,416.75
  6. Step 6: Final answer
    x = 1,434.37

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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.