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Finding the Fourth Proportional to 2,102.04, 3,152.60 and 640.80

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Solution

The fourth proportional to 2,102.04, 3,152.60 and 640.80 is: 961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.04 : 3,152.60 = 640.80 : x
  2. Step 2: Convert to fraction form
    2,102.04/3,152.60 = 640.80/x
  3. Step 3: Cross multiply
    2,102.04x = 3,152.60 × 640.80
  4. Step 4: Simplify right side
    2,102.04x = 2,020,186.08
  5. Step 5: Solve for x
    x = 2,020,186.08/2,102.04
  6. Step 6: Final answer
    x = 961.06

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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.