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Finding the Fourth Proportional to 2,569.74, 3,546.27 and 1,507.74

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Solution

The fourth proportional to 2,569.74, 3,546.27 and 1,507.74 is: 2,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.74 : 3,546.27 = 1,507.74 : x
  2. Step 2: Convert to fraction form
    2,569.74/3,546.27 = 1,507.74/x
  3. Step 3: Cross multiply
    2,569.74x = 3,546.27 × 1,507.74
  4. Step 4: Simplify right side
    2,569.74x = 5,346,853.13
  5. Step 5: Solve for x
    x = 5,346,853.13/2,569.74
  6. Step 6: Final answer
    x = 2,080.70

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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.