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Finding the Fourth Proportional to 2,561.49, 3,533.98 and 1,553.51

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Solution

The fourth proportional to 2,561.49, 3,533.98 and 1,553.51 is: 2,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.49 : 3,533.98 = 1,553.51 : x
  2. Step 2: Convert to fraction form
    2,561.49/3,533.98 = 1,553.51/x
  3. Step 3: Cross multiply
    2,561.49x = 3,533.98 × 1,553.51
  4. Step 4: Simplify right side
    2,561.49x = 5,490,047.83
  5. Step 5: Solve for x
    x = 5,490,047.83/2,561.49
  6. Step 6: Final answer
    x = 2,143.30

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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.