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Finding the Fourth Proportional to 2,079.15, 3,117.90 and 692.10

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Solution

The fourth proportional to 2,079.15, 3,117.90 and 692.10 is: 1,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.15 : 3,117.90 = 692.10 : x
  2. Step 2: Convert to fraction form
    2,079.15/3,117.90 = 692.10/x
  3. Step 3: Cross multiply
    2,079.15x = 3,117.90 × 692.10
  4. Step 4: Simplify right side
    2,079.15x = 2,157,898.59
  5. Step 5: Solve for x
    x = 2,157,898.59/2,079.15
  6. Step 6: Final answer
    x = 1,037.88

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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.