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Finding the Fourth Proportional to 1,746.71, 2,619.25 and 1,016.49

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Solution

The fourth proportional to 1,746.71, 2,619.25 and 1,016.49 is: 1,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.71 : 2,619.25 = 1,016.49 : x
  2. Step 2: Convert to fraction form
    1,746.71/2,619.25 = 1,016.49/x
  3. Step 3: Cross multiply
    1,746.71x = 2,619.25 × 1,016.49
  4. Step 4: Simplify right side
    1,746.71x = 2,662,438.89
  5. Step 5: Solve for x
    x = 2,662,438.89/1,746.71
  6. Step 6: Final answer
    x = 1,524.26

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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.