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Finding the Fourth Proportional to 3,271.84, 4,905.12 and 1,079.20

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Solution

The fourth proportional to 3,271.84, 4,905.12 and 1,079.20 is: 1,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.84 : 4,905.12 = 1,079.20 : x
  2. Step 2: Convert to fraction form
    3,271.84/4,905.12 = 1,079.20/x
  3. Step 3: Cross multiply
    3,271.84x = 4,905.12 × 1,079.20
  4. Step 4: Simplify right side
    3,271.84x = 5,293,605.50
  5. Step 5: Solve for x
    x = 5,293,605.50/3,271.84
  6. Step 6: Final answer
    x = 1,617.93

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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.