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Finding the Fourth Proportional to 3,321.16, 4,980.48 and 980.50

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Solution

The fourth proportional to 3,321.16, 4,980.48 and 980.50 is: 1,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.16 : 4,980.48 = 980.50 : x
  2. Step 2: Convert to fraction form
    3,321.16/4,980.48 = 980.50/x
  3. Step 3: Cross multiply
    3,321.16x = 4,980.48 × 980.50
  4. Step 4: Simplify right side
    3,321.16x = 4,883,360.64
  5. Step 5: Solve for x
    x = 4,883,360.64/3,321.16
  6. Step 6: Final answer
    x = 1,470.38

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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.