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Finding the Fourth Proportional to 2,543.09, 3,509.60 and 1,424.07

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Solution

The fourth proportional to 2,543.09, 3,509.60 and 1,424.07 is: 1,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.09 : 3,509.60 = 1,424.07 : x
  2. Step 2: Convert to fraction form
    2,543.09/3,509.60 = 1,424.07/x
  3. Step 3: Cross multiply
    2,543.09x = 3,509.60 × 1,424.07
  4. Step 4: Simplify right side
    2,543.09x = 4,997,908.95
  5. Step 5: Solve for x
    x = 4,997,908.95/2,543.09
  6. Step 6: Final answer
    x = 1,965.29

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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.