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Finding the Fourth Proportional to 2,999.54, 4,495.08 and 2,258.66

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Solution

The fourth proportional to 2,999.54, 4,495.08 and 2,258.66 is: 3,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.54 : 4,495.08 = 2,258.66 : x
  2. Step 2: Convert to fraction form
    2,999.54/4,495.08 = 2,258.66/x
  3. Step 3: Cross multiply
    2,999.54x = 4,495.08 × 2,258.66
  4. Step 4: Simplify right side
    2,999.54x = 10,152,857.39
  5. Step 5: Solve for x
    x = 10,152,857.39/2,999.54
  6. Step 6: Final answer
    x = 3,384.80

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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.