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Finding the Fourth Proportional to 1,763.75, 2,434.89 and 1,205

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Solution

The fourth proportional to 1,763.75, 2,434.89 and 1,205 is: 1,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.75 : 2,434.89 = 1,205 : x
  2. Step 2: Convert to fraction form
    1,763.75/2,434.89 = 1,205/x
  3. Step 3: Cross multiply
    1,763.75x = 2,434.89 × 1,205
  4. Step 4: Simplify right side
    1,763.75x = 2,934,042.45
  5. Step 5: Solve for x
    x = 2,934,042.45/1,763.75
  6. Step 6: Final answer
    x = 1,663.53

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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.