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Finding the Fourth Proportional to 1,659.07, 2,289.39 and 950.90

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Solution

The fourth proportional to 1,659.07, 2,289.39 and 950.90 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.07 : 2,289.39 = 950.90 : x
  2. Step 2: Convert to fraction form
    1,659.07/2,289.39 = 950.90/x
  3. Step 3: Cross multiply
    1,659.07x = 2,289.39 × 950.90
  4. Step 4: Simplify right side
    1,659.07x = 2,176,983.11
  5. Step 5: Solve for x
    x = 2,176,983.11/1,659.07
  6. Step 6: Final answer
    x = 1,312.17

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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.