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Finding the Fourth Proportional to 1,903.47, 2,626.74 and 1,847.58

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Solution

The fourth proportional to 1,903.47, 2,626.74 and 1,847.58 is: 2,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.47 : 2,626.74 = 1,847.58 : x
  2. Step 2: Convert to fraction form
    1,903.47/2,626.74 = 1,847.58/x
  3. Step 3: Cross multiply
    1,903.47x = 2,626.74 × 1,847.58
  4. Step 4: Simplify right side
    1,903.47x = 4,853,112.29
  5. Step 5: Solve for x
    x = 4,853,112.29/1,903.47
  6. Step 6: Final answer
    x = 2,549.61

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1.5x scale

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.