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Finding the Fourth Proportional to 1,903.53, 2,627.73 and 1,117.63

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Solution

The fourth proportional to 1,903.53, 2,627.73 and 1,117.63 is: 1,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.53 : 2,627.73 = 1,117.63 : x
  2. Step 2: Convert to fraction form
    1,903.53/2,627.73 = 1,117.63/x
  3. Step 3: Cross multiply
    1,903.53x = 2,627.73 × 1,117.63
  4. Step 4: Simplify right side
    1,903.53x = 2,936,811.15
  5. Step 5: Solve for x
    x = 2,936,811.15/1,903.53
  6. Step 6: Final answer
    x = 1,542.82

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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.