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Finding the Fourth Proportional to 1,292.16, 1,783.17 and 1,105.41

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Solution

The fourth proportional to 1,292.16, 1,783.17 and 1,105.41 is: 1,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.16 : 1,783.17 = 1,105.41 : x
  2. Step 2: Convert to fraction form
    1,292.16/1,783.17 = 1,105.41/x
  3. Step 3: Cross multiply
    1,292.16x = 1,783.17 × 1,105.41
  4. Step 4: Simplify right side
    1,292.16x = 1,971,133.95
  5. Step 5: Solve for x
    x = 1,971,133.95/1,292.16
  6. Step 6: Final answer
    x = 1,525.46

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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.