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Finding the Fourth Proportional to 4,692.26, 7,038.40 and 1,229.50

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Solution

The fourth proportional to 4,692.26, 7,038.40 and 1,229.50 is: 1,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.26 : 7,038.40 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    4,692.26/7,038.40 = 1,229.50/x
  3. Step 3: Cross multiply
    4,692.26x = 7,038.40 × 1,229.50
  4. Step 4: Simplify right side
    4,692.26x = 8,653,712.80
  5. Step 5: Solve for x
    x = 8,653,712.80/4,692.26
  6. Step 6: Final answer
    x = 1,844.25

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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.