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Finding the Fourth Proportional to 2,079.19, 3,118.24 and 692.47

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Solution

The fourth proportional to 2,079.19, 3,118.24 and 692.47 is: 1,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.19 : 3,118.24 = 692.47 : x
  2. Step 2: Convert to fraction form
    2,079.19/3,118.24 = 692.47/x
  3. Step 3: Cross multiply
    2,079.19x = 3,118.24 × 692.47
  4. Step 4: Simplify right side
    2,079.19x = 2,159,287.65
  5. Step 5: Solve for x
    x = 2,159,287.65/2,079.19
  6. Step 6: Final answer
    x = 1,038.52

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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.