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Finding the Fourth Proportional to 2,570.40, 3,546.90 and 1,522.26

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Solution

The fourth proportional to 2,570.40, 3,546.90 and 1,522.26 is: 2,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.40 : 3,546.90 = 1,522.26 : x
  2. Step 2: Convert to fraction form
    2,570.40/3,546.90 = 1,522.26/x
  3. Step 3: Cross multiply
    2,570.40x = 3,546.90 × 1,522.26
  4. Step 4: Simplify right side
    2,570.40x = 5,399,303.99
  5. Step 5: Solve for x
    x = 5,399,303.99/2,570.40
  6. Step 6: Final answer
    x = 2,100.57

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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.