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Finding the Fourth Proportional to 2,570.69, 3,837.43 and 2,259.30

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Solution

The fourth proportional to 2,570.69, 3,837.43 and 2,259.30 is: 3,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.69 : 3,837.43 = 2,259.30 : x
  2. Step 2: Convert to fraction form
    2,570.69/3,837.43 = 2,259.30/x
  3. Step 3: Cross multiply
    2,570.69x = 3,837.43 × 2,259.30
  4. Step 4: Simplify right side
    2,570.69x = 8,669,905.60
  5. Step 5: Solve for x
    x = 8,669,905.60/2,570.69
  6. Step 6: Final answer
    x = 3,372.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.