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Finding the Fourth Proportional to 1,719.18, 2,578.77 and 623.07

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Solution

The fourth proportional to 1,719.18, 2,578.77 and 623.07 is: 934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.18 : 2,578.77 = 623.07 : x
  2. Step 2: Convert to fraction form
    1,719.18/2,578.77 = 623.07/x
  3. Step 3: Cross multiply
    1,719.18x = 2,578.77 × 623.07
  4. Step 4: Simplify right side
    1,719.18x = 1,606,754.22
  5. Step 5: Solve for x
    x = 1,606,754.22/1,719.18
  6. Step 6: Final answer
    x = 934.61

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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.