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Finding the Fourth Proportional to 1,650.33, 2,278.28 and 1,276.46

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Solution

The fourth proportional to 1,650.33, 2,278.28 and 1,276.46 is: 1,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.33 : 2,278.28 = 1,276.46 : x
  2. Step 2: Convert to fraction form
    1,650.33/2,278.28 = 1,276.46/x
  3. Step 3: Cross multiply
    1,650.33x = 2,278.28 × 1,276.46
  4. Step 4: Simplify right side
    1,650.33x = 2,908,133.29
  5. Step 5: Solve for x
    x = 2,908,133.29/1,650.33
  6. Step 6: Final answer
    x = 1,762.15

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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.