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Finding the Fourth Proportional to 1,671.42, 2,305.16 and 1,074.01

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Solution

The fourth proportional to 1,671.42, 2,305.16 and 1,074.01 is: 1,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,305.16 = 1,074.01 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,305.16 = 1,074.01/x
  3. Step 3: Cross multiply
    1,671.42x = 2,305.16 × 1,074.01
  4. Step 4: Simplify right side
    1,671.42x = 2,475,767.94
  5. Step 5: Solve for x
    x = 2,475,767.94/1,671.42
  6. Step 6: Final answer
    x = 1,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.