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Finding the Fourth Proportional to 1,628.94, 2,247.51 and 965.94

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Solution

The fourth proportional to 1,628.94, 2,247.51 and 965.94 is: 1,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.94 : 2,247.51 = 965.94 : x
  2. Step 2: Convert to fraction form
    1,628.94/2,247.51 = 965.94/x
  3. Step 3: Cross multiply
    1,628.94x = 2,247.51 × 965.94
  4. Step 4: Simplify right side
    1,628.94x = 2,170,959.81
  5. Step 5: Solve for x
    x = 2,170,959.81/1,628.94
  6. Step 6: Final answer
    x = 1,332.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.