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Finding the Fourth Proportional to 2,693.47, 4,040.19 and 692.16

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Solution

The fourth proportional to 2,693.47, 4,040.19 and 692.16 is: 1,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.47 : 4,040.19 = 692.16 : x
  2. Step 2: Convert to fraction form
    2,693.47/4,040.19 = 692.16/x
  3. Step 3: Cross multiply
    2,693.47x = 4,040.19 × 692.16
  4. Step 4: Simplify right side
    2,693.47x = 2,796,469.58
  5. Step 5: Solve for x
    x = 2,796,469.58/2,693.47
  6. Step 6: Final answer
    x = 1,038.24

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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.