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Finding the Fourth Proportional to 2,823.14, 4,235.30 and 848.60

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Solution

The fourth proportional to 2,823.14, 4,235.30 and 848.60 is: 1,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.14 : 4,235.30 = 848.60 : x
  2. Step 2: Convert to fraction form
    2,823.14/4,235.30 = 848.60/x
  3. Step 3: Cross multiply
    2,823.14x = 4,235.30 × 848.60
  4. Step 4: Simplify right side
    2,823.14x = 3,594,075.58
  5. Step 5: Solve for x
    x = 3,594,075.58/2,823.14
  6. Step 6: Final answer
    x = 1,273.08

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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.