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Finding the Fourth Proportional to 1,855.88, 2,783.80 and 469.19

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Solution

The fourth proportional to 1,855.88, 2,783.80 and 469.19 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.88 : 2,783.80 = 469.19 : x
  2. Step 2: Convert to fraction form
    1,855.88/2,783.80 = 469.19/x
  3. Step 3: Cross multiply
    1,855.88x = 2,783.80 × 469.19
  4. Step 4: Simplify right side
    1,855.88x = 1,306,131.12
  5. Step 5: Solve for x
    x = 1,306,131.12/1,855.88
  6. Step 6: Final answer
    x = 703.78

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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.