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Finding the Fourth Proportional to 2,561, 3,534.34 and 1,457

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Solution

The fourth proportional to 2,561, 3,534.34 and 1,457 is: 2,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 3,534.34 = 1,457 : x
  2. Step 2: Convert to fraction form
    2,561/3,534.34 = 1,457/x
  3. Step 3: Cross multiply
    2,561x = 3,534.34 × 1,457
  4. Step 4: Simplify right side
    2,561x = 5,149,533.38
  5. Step 5: Solve for x
    x = 5,149,533.38/2,561
  6. Step 6: Final answer
    x = 2,010.75

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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.