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Finding the Fourth Proportional to 1,853.74, 2,782.44 and 1,547.56

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Solution

The fourth proportional to 1,853.74, 2,782.44 and 1,547.56 is: 2,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.74 : 2,782.44 = 1,547.56 : x
  2. Step 2: Convert to fraction form
    1,853.74/2,782.44 = 1,547.56/x
  3. Step 3: Cross multiply
    1,853.74x = 2,782.44 × 1,547.56
  4. Step 4: Simplify right side
    1,853.74x = 4,305,992.85
  5. Step 5: Solve for x
    x = 4,305,992.85/1,853.74
  6. Step 6: Final answer
    x = 2,322.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.