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Finding the Fourth Proportional to 2,852.55, 4,279.50 and 1,209.20

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Solution

The fourth proportional to 2,852.55, 4,279.50 and 1,209.20 is: 1,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.55 : 4,279.50 = 1,209.20 : x
  2. Step 2: Convert to fraction form
    2,852.55/4,279.50 = 1,209.20/x
  3. Step 3: Cross multiply
    2,852.55x = 4,279.50 × 1,209.20
  4. Step 4: Simplify right side
    2,852.55x = 5,174,750.00
  5. Step 5: Solve for x
    x = 5,174,750.00/2,852.55
  6. Step 6: Final answer
    x = 1,814.08

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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.