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Finding the Fourth Proportional to 1,785.44, 2,467.84 and 1,574

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Solution

The fourth proportional to 1,785.44, 2,467.84 and 1,574 is: 2,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.44 : 2,467.84 = 1,574 : x
  2. Step 2: Convert to fraction form
    1,785.44/2,467.84 = 1,574/x
  3. Step 3: Cross multiply
    1,785.44x = 2,467.84 × 1,574
  4. Step 4: Simplify right side
    1,785.44x = 3,884,380.16
  5. Step 5: Solve for x
    x = 3,884,380.16/1,785.44
  6. Step 6: Final answer
    x = 2,175.59

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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.