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Finding the Fourth Proportional to 2,569.74, 3,546.26 and 1,507.26

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Solution

The fourth proportional to 2,569.74, 3,546.26 and 1,507.26 is: 2,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.74 : 3,546.26 = 1,507.26 : x
  2. Step 2: Convert to fraction form
    2,569.74/3,546.26 = 1,507.26/x
  3. Step 3: Cross multiply
    2,569.74x = 3,546.26 × 1,507.26
  4. Step 4: Simplify right side
    2,569.74x = 5,345,128.31
  5. Step 5: Solve for x
    x = 5,345,128.31/2,569.74
  6. Step 6: Final answer
    x = 2,080.03

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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.