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Finding the Fourth Proportional to 1,833.34, 2,528.10 and 1,274.44

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Solution

The fourth proportional to 1,833.34, 2,528.10 and 1,274.44 is: 1,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.34 : 2,528.10 = 1,274.44 : x
  2. Step 2: Convert to fraction form
    1,833.34/2,528.10 = 1,274.44/x
  3. Step 3: Cross multiply
    1,833.34x = 2,528.10 × 1,274.44
  4. Step 4: Simplify right side
    1,833.34x = 3,221,911.76
  5. Step 5: Solve for x
    x = 3,221,911.76/1,833.34
  6. Step 6: Final answer
    x = 1,757.40

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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.