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Finding the Fourth Proportional to 3,255.03, 4,881.30 and 1,406.00

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Solution

The fourth proportional to 3,255.03, 4,881.30 and 1,406.00 is: 2,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.03 : 4,881.30 = 1,406.00 : x
  2. Step 2: Convert to fraction form
    3,255.03/4,881.30 = 1,406.00/x
  3. Step 3: Cross multiply
    3,255.03x = 4,881.30 × 1,406.00
  4. Step 4: Simplify right side
    3,255.03x = 6,863,083.39
  5. Step 5: Solve for x
    x = 6,863,083.39/3,255.03
  6. Step 6: Final answer
    x = 2,108.45

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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.