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Finding the Fourth Proportional to 2,417.22, 3,623.97 and 955.98

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Solution

The fourth proportional to 2,417.22, 3,623.97 and 955.98 is: 1,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.22 : 3,623.97 = 955.98 : x
  2. Step 2: Convert to fraction form
    2,417.22/3,623.97 = 955.98/x
  3. Step 3: Cross multiply
    2,417.22x = 3,623.97 × 955.98
  4. Step 4: Simplify right side
    2,417.22x = 3,464,442.84
  5. Step 5: Solve for x
    x = 3,464,442.84/2,417.22
  6. Step 6: Final answer
    x = 1,433.23

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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.