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Finding the Fourth Proportional to 2,569.58, 3,544.34 and 1,574.50

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Solution

The fourth proportional to 2,569.58, 3,544.34 and 1,574.50 is: 2,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.58 : 3,544.34 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    2,569.58/3,544.34 = 1,574.50/x
  3. Step 3: Cross multiply
    2,569.58x = 3,544.34 × 1,574.50
  4. Step 4: Simplify right side
    2,569.58x = 5,580,563.33
  5. Step 5: Solve for x
    x = 5,580,563.33/2,569.58
  6. Step 6: Final answer
    x = 2,171.78

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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.