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Finding the Fourth Proportional to 1,852.14, 2,778.19 and 553.62

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Solution

The fourth proportional to 1,852.14, 2,778.19 and 553.62 is: 830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.14 : 2,778.19 = 553.62 : x
  2. Step 2: Convert to fraction form
    1,852.14/2,778.19 = 553.62/x
  3. Step 3: Cross multiply
    1,852.14x = 2,778.19 × 553.62
  4. Step 4: Simplify right side
    1,852.14x = 1,538,061.55
  5. Step 5: Solve for x
    x = 1,538,061.55/1,852.14
  6. Step 6: Final answer
    x = 830.42

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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.