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Finding the Fourth Proportional to 1,758.44, 2,620.46 and 1,654.58

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Solution

The fourth proportional to 1,758.44, 2,620.46 and 1,654.58 is: 2,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.44 : 2,620.46 = 1,654.58 : x
  2. Step 2: Convert to fraction form
    1,758.44/2,620.46 = 1,654.58/x
  3. Step 3: Cross multiply
    1,758.44x = 2,620.46 × 1,654.58
  4. Step 4: Simplify right side
    1,758.44x = 4,335,760.71
  5. Step 5: Solve for x
    x = 4,335,760.71/1,758.44
  6. Step 6: Final answer
    x = 2,465.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.