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Finding the Fourth Proportional to 1,719.87, 2,578.16 and 549.23

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Solution

The fourth proportional to 1,719.87, 2,578.16 and 549.23 is: 823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.87 : 2,578.16 = 549.23 : x
  2. Step 2: Convert to fraction form
    1,719.87/2,578.16 = 549.23/x
  3. Step 3: Cross multiply
    1,719.87x = 2,578.16 × 549.23
  4. Step 4: Simplify right side
    1,719.87x = 1,415,987.18
  5. Step 5: Solve for x
    x = 1,415,987.18/1,719.87
  6. Step 6: Final answer
    x = 823.31

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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.