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Finding the Fourth Proportional to 1,574.97, 2,157.73 and 1,515.87

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Solution

The fourth proportional to 1,574.97, 2,157.73 and 1,515.87 is: 2,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.97 : 2,157.73 = 1,515.87 : x
  2. Step 2: Convert to fraction form
    1,574.97/2,157.73 = 1,515.87/x
  3. Step 3: Cross multiply
    1,574.97x = 2,157.73 × 1,515.87
  4. Step 4: Simplify right side
    1,574.97x = 3,270,838.18
  5. Step 5: Solve for x
    x = 3,270,838.18/1,574.97
  6. Step 6: Final answer
    x = 2,076.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.