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Finding the Fourth Proportional to 1,746.08, 2,618.88 and 1,016

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Solution

The fourth proportional to 1,746.08, 2,618.88 and 1,016 is: 1,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.08 : 2,618.88 = 1,016 : x
  2. Step 2: Convert to fraction form
    1,746.08/2,618.88 = 1,016/x
  3. Step 3: Cross multiply
    1,746.08x = 2,618.88 × 1,016
  4. Step 4: Simplify right side
    1,746.08x = 2,660,782.08
  5. Step 5: Solve for x
    x = 2,660,782.08/1,746.08
  6. Step 6: Final answer
    x = 1,523.86

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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.