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Finding the Fourth Proportional to 2,543.76, 3,511.08 and 1,496.16

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Solution

The fourth proportional to 2,543.76, 3,511.08 and 1,496.16 is: 2,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.76 : 3,511.08 = 1,496.16 : x
  2. Step 2: Convert to fraction form
    2,543.76/3,511.08 = 1,496.16/x
  3. Step 3: Cross multiply
    2,543.76x = 3,511.08 × 1,496.16
  4. Step 4: Simplify right side
    2,543.76x = 5,253,137.45
  5. Step 5: Solve for x
    x = 5,253,137.45/2,543.76
  6. Step 6: Final answer
    x = 2,065.11

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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.