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Finding the Fourth Proportional to 2,543.44, 3,509.60 and 1,424.44

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Solution

The fourth proportional to 2,543.44, 3,509.60 and 1,424.44 is: 1,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.44 : 3,509.60 = 1,424.44 : x
  2. Step 2: Convert to fraction form
    2,543.44/3,509.60 = 1,424.44/x
  3. Step 3: Cross multiply
    2,543.44x = 3,509.60 × 1,424.44
  4. Step 4: Simplify right side
    2,543.44x = 4,999,214.62
  5. Step 5: Solve for x
    x = 4,999,214.62/2,543.44
  6. Step 6: Final answer
    x = 1,965.53

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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.