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Finding the Fourth Proportional to 1,803.58, 2,692.32 and 1,584.88

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Solution

The fourth proportional to 1,803.58, 2,692.32 and 1,584.88 is: 2,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.58 : 2,692.32 = 1,584.88 : x
  2. Step 2: Convert to fraction form
    1,803.58/2,692.32 = 1,584.88/x
  3. Step 3: Cross multiply
    1,803.58x = 2,692.32 × 1,584.88
  4. Step 4: Simplify right side
    1,803.58x = 4,267,004.12
  5. Step 5: Solve for x
    x = 4,267,004.12/1,803.58
  6. Step 6: Final answer
    x = 2,365.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.