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Finding the Fourth Proportional to 1,719.44, 2,577.59 and 623.54

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Solution

The fourth proportional to 1,719.44, 2,577.59 and 623.54 is: 934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.44 : 2,577.59 = 623.54 : x
  2. Step 2: Convert to fraction form
    1,719.44/2,577.59 = 623.54/x
  3. Step 3: Cross multiply
    1,719.44x = 2,577.59 × 623.54
  4. Step 4: Simplify right side
    1,719.44x = 1,607,233.79
  5. Step 5: Solve for x
    x = 1,607,233.79/1,719.44
  6. Step 6: Final answer
    x = 934.74

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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.