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Finding the Fourth Proportional to 2,078.95, 3,117.33 and 692.14

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Solution

The fourth proportional to 2,078.95, 3,117.33 and 692.14 is: 1,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.95 : 3,117.33 = 692.14 : x
  2. Step 2: Convert to fraction form
    2,078.95/3,117.33 = 692.14/x
  3. Step 3: Cross multiply
    2,078.95x = 3,117.33 × 692.14
  4. Step 4: Simplify right side
    2,078.95x = 2,157,628.79
  5. Step 5: Solve for x
    x = 2,157,628.79/2,078.95
  6. Step 6: Final answer
    x = 1,037.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.