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Finding the Fourth Proportional to 1,853.47, 2,558.01 and 1,067.50

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Solution

The fourth proportional to 1,853.47, 2,558.01 and 1,067.50 is: 1,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.47 : 2,558.01 = 1,067.50 : x
  2. Step 2: Convert to fraction form
    1,853.47/2,558.01 = 1,067.50/x
  3. Step 3: Cross multiply
    1,853.47x = 2,558.01 × 1,067.50
  4. Step 4: Simplify right side
    1,853.47x = 2,730,675.68
  5. Step 5: Solve for x
    x = 2,730,675.68/1,853.47
  6. Step 6: Final answer
    x = 1,473.28

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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.