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Finding the Fourth Proportional to 2,692.93, 4,038.72 and 1,910.65

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Solution

The fourth proportional to 2,692.93, 4,038.72 and 1,910.65 is: 2,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.93 : 4,038.72 = 1,910.65 : x
  2. Step 2: Convert to fraction form
    2,692.93/4,038.72 = 1,910.65/x
  3. Step 3: Cross multiply
    2,692.93x = 4,038.72 × 1,910.65
  4. Step 4: Simplify right side
    2,692.93x = 7,716,580.37
  5. Step 5: Solve for x
    x = 7,716,580.37/2,692.93
  6. Step 6: Final answer
    x = 2,865.50

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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.