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Finding the Fourth Proportional to 2,067.80, 2,852.58 and 1,508

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Solution

The fourth proportional to 2,067.80, 2,852.58 and 1,508 is: 2,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.80 : 2,852.58 = 1,508 : x
  2. Step 2: Convert to fraction form
    2,067.80/2,852.58 = 1,508/x
  3. Step 3: Cross multiply
    2,067.80x = 2,852.58 × 1,508
  4. Step 4: Simplify right side
    2,067.80x = 4,301,690.64
  5. Step 5: Solve for x
    x = 4,301,690.64/2,067.80
  6. Step 6: Final answer
    x = 2,080.32

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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.