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Finding the Fourth Proportional to 1,650.66, 2,277.63 and 1,021.29

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Solution

The fourth proportional to 1,650.66, 2,277.63 and 1,021.29 is: 1,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.66 : 2,277.63 = 1,021.29 : x
  2. Step 2: Convert to fraction form
    1,650.66/2,277.63 = 1,021.29/x
  3. Step 3: Cross multiply
    1,650.66x = 2,277.63 × 1,021.29
  4. Step 4: Simplify right side
    1,650.66x = 2,326,120.74
  5. Step 5: Solve for x
    x = 2,326,120.74/1,650.66
  6. Step 6: Final answer
    x = 1,409.21

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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.