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Finding the Fourth Proportional to 1,862.37, 2,794.02 and 630.06

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Solution

The fourth proportional to 1,862.37, 2,794.02 and 630.06 is: 945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.37 : 2,794.02 = 630.06 : x
  2. Step 2: Convert to fraction form
    1,862.37/2,794.02 = 630.06/x
  3. Step 3: Cross multiply
    1,862.37x = 2,794.02 × 630.06
  4. Step 4: Simplify right side
    1,862.37x = 1,760,400.24
  5. Step 5: Solve for x
    x = 1,760,400.24/1,862.37
  6. Step 6: Final answer
    x = 945.25

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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.