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Finding the Fourth Proportional to 2,534.24, 3,496.24 and 1,872.64

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Solution

The fourth proportional to 2,534.24, 3,496.24 and 1,872.64 is: 2,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.24 : 3,496.24 = 1,872.64 : x
  2. Step 2: Convert to fraction form
    2,534.24/3,496.24 = 1,872.64/x
  3. Step 3: Cross multiply
    2,534.24x = 3,496.24 × 1,872.64
  4. Step 4: Simplify right side
    2,534.24x = 6,547,198.87
  5. Step 5: Solve for x
    x = 6,547,198.87/2,534.24
  6. Step 6: Final answer
    x = 2,583.50

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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.