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Finding the Fourth Proportional to 1,736.16, 2,395.95 and 950.25

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Solution

The fourth proportional to 1,736.16, 2,395.95 and 950.25 is: 1,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.16 : 2,395.95 = 950.25 : x
  2. Step 2: Convert to fraction form
    1,736.16/2,395.95 = 950.25/x
  3. Step 3: Cross multiply
    1,736.16x = 2,395.95 × 950.25
  4. Step 4: Simplify right side
    1,736.16x = 2,276,756.91
  5. Step 5: Solve for x
    x = 2,276,756.91/1,736.16
  6. Step 6: Final answer
    x = 1,311.38

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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.