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Finding the Fourth Proportional to 3,202.52, 4,802.52 and 980.66

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Solution

The fourth proportional to 3,202.52, 4,802.52 and 980.66 is: 1,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.52 : 4,802.52 = 980.66 : x
  2. Step 2: Convert to fraction form
    3,202.52/4,802.52 = 980.66/x
  3. Step 3: Cross multiply
    3,202.52x = 4,802.52 × 980.66
  4. Step 4: Simplify right side
    3,202.52x = 4,709,639.26
  5. Step 5: Solve for x
    x = 4,709,639.26/3,202.52
  6. Step 6: Final answer
    x = 1,470.60

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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.