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Finding the Fourth Proportional to 1,476, 2,033.43 and 1,033.14

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Solution

The fourth proportional to 1,476, 2,033.43 and 1,033.14 is: 1,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476 : 2,033.43 = 1,033.14 : x
  2. Step 2: Convert to fraction form
    1,476/2,033.43 = 1,033.14/x
  3. Step 3: Cross multiply
    1,476x = 2,033.43 × 1,033.14
  4. Step 4: Simplify right side
    1,476x = 2,100,817.87
  5. Step 5: Solve for x
    x = 2,100,817.87/1,476
  6. Step 6: Final answer
    x = 1,423.32

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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.