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Finding the Fourth Proportional to 1,903.13, 2,855.60 and 928.70

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Solution

The fourth proportional to 1,903.13, 2,855.60 and 928.70 is: 1,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.13 : 2,855.60 = 928.70 : x
  2. Step 2: Convert to fraction form
    1,903.13/2,855.60 = 928.70/x
  3. Step 3: Cross multiply
    1,903.13x = 2,855.60 × 928.70
  4. Step 4: Simplify right side
    1,903.13x = 2,651,976.80
  5. Step 5: Solve for x
    x = 2,651,976.80/1,903.13
  6. Step 6: Final answer
    x = 1,393.49

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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.