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Finding the Fourth Proportional to 2,569.51, 3,546.21 and 1,521.64

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Solution

The fourth proportional to 2,569.51, 3,546.21 and 1,521.64 is: 2,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.51 : 3,546.21 = 1,521.64 : x
  2. Step 2: Convert to fraction form
    2,569.51/3,546.21 = 1,521.64/x
  3. Step 3: Cross multiply
    2,569.51x = 3,546.21 × 1,521.64
  4. Step 4: Simplify right side
    2,569.51x = 5,396,054.98
  5. Step 5: Solve for x
    x = 5,396,054.98/2,569.51
  6. Step 6: Final answer
    x = 2,100.03

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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.