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Finding the Fourth Proportional to 1,852.19, 2,777.67 and 619.23

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Solution

The fourth proportional to 1,852.19, 2,777.67 and 619.23 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.19 : 2,777.67 = 619.23 : x
  2. Step 2: Convert to fraction form
    1,852.19/2,777.67 = 619.23/x
  3. Step 3: Cross multiply
    1,852.19x = 2,777.67 × 619.23
  4. Step 4: Simplify right side
    1,852.19x = 1,720,016.59
  5. Step 5: Solve for x
    x = 1,720,016.59/1,852.19
  6. Step 6: Final answer
    x = 928.64

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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.