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Finding the Fourth Proportional to 2,852.85, 4,279.93 and 1,209.46

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Solution

The fourth proportional to 2,852.85, 4,279.93 and 1,209.46 is: 1,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.85 : 4,279.93 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    2,852.85/4,279.93 = 1,209.46/x
  3. Step 3: Cross multiply
    2,852.85x = 4,279.93 × 1,209.46
  4. Step 4: Simplify right side
    2,852.85x = 5,176,404.14
  5. Step 5: Solve for x
    x = 5,176,404.14/2,852.85
  6. Step 6: Final answer
    x = 1,814.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.