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Finding the Fourth Proportional to 1,903.35, 2,626.63 and 1,106.87

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Solution

The fourth proportional to 1,903.35, 2,626.63 and 1,106.87 is: 1,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.35 : 2,626.63 = 1,106.87 : x
  2. Step 2: Convert to fraction form
    1,903.35/2,626.63 = 1,106.87/x
  3. Step 3: Cross multiply
    1,903.35x = 2,626.63 × 1,106.87
  4. Step 4: Simplify right side
    1,903.35x = 2,907,322.05
  5. Step 5: Solve for x
    x = 2,907,322.05/1,903.35
  6. Step 6: Final answer
    x = 1,527.48

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