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Finding the Fourth Proportional to 2,580.44, 3,870.30 and 848.84

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Solution

The fourth proportional to 2,580.44, 3,870.30 and 848.84 is: 1,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.44 : 3,870.30 = 848.84 : x
  2. Step 2: Convert to fraction form
    2,580.44/3,870.30 = 848.84/x
  3. Step 3: Cross multiply
    2,580.44x = 3,870.30 × 848.84
  4. Step 4: Simplify right side
    2,580.44x = 3,285,265.45
  5. Step 5: Solve for x
    x = 3,285,265.45/2,580.44
  6. Step 6: Final answer
    x = 1,273.14

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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.