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Finding the Fourth Proportional to 2,570.98, 3,548.10 and 1,451.96

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Solution

The fourth proportional to 2,570.98, 3,548.10 and 1,451.96 is: 2,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.98 : 3,548.10 = 1,451.96 : x
  2. Step 2: Convert to fraction form
    2,570.98/3,548.10 = 1,451.96/x
  3. Step 3: Cross multiply
    2,570.98x = 3,548.10 × 1,451.96
  4. Step 4: Simplify right side
    2,570.98x = 5,151,699.28
  5. Step 5: Solve for x
    x = 5,151,699.28/2,570.98
  6. Step 6: Final answer
    x = 2,003.79

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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.