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Finding the Fourth Proportional to 1,905.67, 2,628.07 and 1,242.28

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Solution

The fourth proportional to 1,905.67, 2,628.07 and 1,242.28 is: 1,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.67 : 2,628.07 = 1,242.28 : x
  2. Step 2: Convert to fraction form
    1,905.67/2,628.07 = 1,242.28/x
  3. Step 3: Cross multiply
    1,905.67x = 2,628.07 × 1,242.28
  4. Step 4: Simplify right side
    1,905.67x = 3,264,798.80
  5. Step 5: Solve for x
    x = 3,264,798.80/1,905.67
  6. Step 6: Final answer
    x = 1,713.20

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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.