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Finding the Fourth Proportional to 2,130.98, 3,196.42 and 650.20

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Solution

The fourth proportional to 2,130.98, 3,196.42 and 650.20 is: 975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.98 : 3,196.42 = 650.20 : x
  2. Step 2: Convert to fraction form
    2,130.98/3,196.42 = 650.20/x
  3. Step 3: Cross multiply
    2,130.98x = 3,196.42 × 650.20
  4. Step 4: Simplify right side
    2,130.98x = 2,078,312.28
  5. Step 5: Solve for x
    x = 2,078,312.28/2,130.98
  6. Step 6: Final answer
    x = 975.28

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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.