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Finding the Fourth Proportional to 1,903.59, 2,626.02 and 1,195.08

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Solution

The fourth proportional to 1,903.59, 2,626.02 and 1,195.08 is: 1,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.59 : 2,626.02 = 1,195.08 : x
  2. Step 2: Convert to fraction form
    1,903.59/2,626.02 = 1,195.08/x
  3. Step 3: Cross multiply
    1,903.59x = 2,626.02 × 1,195.08
  4. Step 4: Simplify right side
    1,903.59x = 3,138,303.98
  5. Step 5: Solve for x
    x = 3,138,303.98/1,903.59
  6. Step 6: Final answer
    x = 1,648.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.