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Finding the Fourth Proportional to 2,128.10, 3,192.60 and 647.20

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Solution

The fourth proportional to 2,128.10, 3,192.60 and 647.20 is: 970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.10 : 3,192.60 = 647.20 : x
  2. Step 2: Convert to fraction form
    2,128.10/3,192.60 = 647.20/x
  3. Step 3: Cross multiply
    2,128.10x = 3,192.60 × 647.20
  4. Step 4: Simplify right side
    2,128.10x = 2,066,250.72
  5. Step 5: Solve for x
    x = 2,066,250.72/2,128.10
  6. Step 6: Final answer
    x = 970.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.