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Finding the Fourth Proportional to 2,498.37, 3,746.75 and 854.88

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Solution

The fourth proportional to 2,498.37, 3,746.75 and 854.88 is: 1,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.37 : 3,746.75 = 854.88 : x
  2. Step 2: Convert to fraction form
    2,498.37/3,746.75 = 854.88/x
  3. Step 3: Cross multiply
    2,498.37x = 3,746.75 × 854.88
  4. Step 4: Simplify right side
    2,498.37x = 3,203,017.37
  5. Step 5: Solve for x
    x = 3,203,017.37/2,498.37
  6. Step 6: Final answer
    x = 1,282.04

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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.