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Finding the Fourth Proportional to 1,838.62, 2,758.08 and 540.10

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Solution

The fourth proportional to 1,838.62, 2,758.08 and 540.10 is: 810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.62 : 2,758.08 = 540.10 : x
  2. Step 2: Convert to fraction form
    1,838.62/2,758.08 = 540.10/x
  3. Step 3: Cross multiply
    1,838.62x = 2,758.08 × 540.10
  4. Step 4: Simplify right side
    1,838.62x = 1,489,639.01
  5. Step 5: Solve for x
    x = 1,489,639.01/1,838.62
  6. Step 6: Final answer
    x = 810.19

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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.