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Finding the Fourth Proportional to 1,650.45, 2,275.06 and 1,230.16

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Solution

The fourth proportional to 1,650.45, 2,275.06 and 1,230.16 is: 1,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.45 : 2,275.06 = 1,230.16 : x
  2. Step 2: Convert to fraction form
    1,650.45/2,275.06 = 1,230.16/x
  3. Step 3: Cross multiply
    1,650.45x = 2,275.06 × 1,230.16
  4. Step 4: Simplify right side
    1,650.45x = 2,798,687.81
  5. Step 5: Solve for x
    x = 2,798,687.81/1,650.45
  6. Step 6: Final answer
    x = 1,695.71

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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.