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Finding the Fourth Proportional to 1,751.45, 2,415.02 and 1,192.23

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Solution

The fourth proportional to 1,751.45, 2,415.02 and 1,192.23 is: 1,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.45 : 2,415.02 = 1,192.23 : x
  2. Step 2: Convert to fraction form
    1,751.45/2,415.02 = 1,192.23/x
  3. Step 3: Cross multiply
    1,751.45x = 2,415.02 × 1,192.23
  4. Step 4: Simplify right side
    1,751.45x = 2,879,253.33
  5. Step 5: Solve for x
    x = 2,879,253.33/1,751.45
  6. Step 6: Final answer
    x = 1,643.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.