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Finding the Fourth Proportional to 1,703.88, 2,350.44 and 1,144.32

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Solution

The fourth proportional to 1,703.88, 2,350.44 and 1,144.32 is: 1,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.88 : 2,350.44 = 1,144.32 : x
  2. Step 2: Convert to fraction form
    1,703.88/2,350.44 = 1,144.32/x
  3. Step 3: Cross multiply
    1,703.88x = 2,350.44 × 1,144.32
  4. Step 4: Simplify right side
    1,703.88x = 2,689,655.50
  5. Step 5: Solve for x
    x = 2,689,655.50/1,703.88
  6. Step 6: Final answer
    x = 1,578.55

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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.