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Finding the Fourth Proportional to 2,029.53, 3,044.53 and 1,918.81

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Solution

The fourth proportional to 2,029.53, 3,044.53 and 1,918.81 is: 2,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.53 : 3,044.53 = 1,918.81 : x
  2. Step 2: Convert to fraction form
    2,029.53/3,044.53 = 1,918.81/x
  3. Step 3: Cross multiply
    2,029.53x = 3,044.53 × 1,918.81
  4. Step 4: Simplify right side
    2,029.53x = 5,841,880.81
  5. Step 5: Solve for x
    x = 5,841,880.81/2,029.53
  6. Step 6: Final answer
    x = 2,878.45

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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.