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Finding the Fourth Proportional to 1,852.14, 2,778.22 and 619.46

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Solution

The fourth proportional to 1,852.14, 2,778.22 and 619.46 is: 929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.14 : 2,778.22 = 619.46 : x
  2. Step 2: Convert to fraction form
    1,852.14/2,778.22 = 619.46/x
  3. Step 3: Cross multiply
    1,852.14x = 2,778.22 × 619.46
  4. Step 4: Simplify right side
    1,852.14x = 1,720,996.16
  5. Step 5: Solve for x
    x = 1,720,996.16/1,852.14
  6. Step 6: Final answer
    x = 929.19

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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.