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Finding the Fourth Proportional to 1,829.53, 2,742.68 and 950.18

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Solution

The fourth proportional to 1,829.53, 2,742.68 and 950.18 is: 1,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.53 : 2,742.68 = 950.18 : x
  2. Step 2: Convert to fraction form
    1,829.53/2,742.68 = 950.18/x
  3. Step 3: Cross multiply
    1,829.53x = 2,742.68 × 950.18
  4. Step 4: Simplify right side
    1,829.53x = 2,606,028.34
  5. Step 5: Solve for x
    x = 2,606,028.34/1,829.53
  6. Step 6: Final answer
    x = 1,424.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.