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Finding the Fourth Proportional to 2,038.09, 3,057.52 and 703.53

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Solution

The fourth proportional to 2,038.09, 3,057.52 and 703.53 is: 1,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.09 : 3,057.52 = 703.53 : x
  2. Step 2: Convert to fraction form
    2,038.09/3,057.52 = 703.53/x
  3. Step 3: Cross multiply
    2,038.09x = 3,057.52 × 703.53
  4. Step 4: Simplify right side
    2,038.09x = 2,151,057.05
  5. Step 5: Solve for x
    x = 2,151,057.05/2,038.09
  6. Step 6: Final answer
    x = 1,055.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.