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Finding the Fourth Proportional to 1,838.84, 2,758.31 and 540.35

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Solution

The fourth proportional to 1,838.84, 2,758.31 and 540.35 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.84 : 2,758.31 = 540.35 : x
  2. Step 2: Convert to fraction form
    1,838.84/2,758.31 = 540.35/x
  3. Step 3: Cross multiply
    1,838.84x = 2,758.31 × 540.35
  4. Step 4: Simplify right side
    1,838.84x = 1,490,450.11
  5. Step 5: Solve for x
    x = 1,490,450.11/1,838.84
  6. Step 6: Final answer
    x = 810.54

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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.