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Finding the Fourth Proportional to 4,783.25, 7,174.85 and 1,320.50

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Solution

The fourth proportional to 4,783.25, 7,174.85 and 1,320.50 is: 1,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.25 : 7,174.85 = 1,320.50 : x
  2. Step 2: Convert to fraction form
    4,783.25/7,174.85 = 1,320.50/x
  3. Step 3: Cross multiply
    4,783.25x = 7,174.85 × 1,320.50
  4. Step 4: Simplify right side
    4,783.25x = 9,474,400.76
  5. Step 5: Solve for x
    x = 9,474,400.76/4,783.25
  6. Step 6: Final answer
    x = 1,980.74

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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.