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Finding the Fourth Proportional to 1,838.67, 2,758.01 and 452.01

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Solution

The fourth proportional to 1,838.67, 2,758.01 and 452.01 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.67 : 2,758.01 = 452.01 : x
  2. Step 2: Convert to fraction form
    1,838.67/2,758.01 = 452.01/x
  3. Step 3: Cross multiply
    1,838.67x = 2,758.01 × 452.01
  4. Step 4: Simplify right side
    1,838.67x = 1,246,648.10
  5. Step 5: Solve for x
    x = 1,246,648.10/1,838.67
  6. Step 6: Final answer
    x = 678.02

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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.