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Finding the Fourth Proportional to 1,719.29, 2,577.42 and 745.07

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Solution

The fourth proportional to 1,719.29, 2,577.42 and 745.07 is: 1,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.29 : 2,577.42 = 745.07 : x
  2. Step 2: Convert to fraction form
    1,719.29/2,577.42 = 745.07/x
  3. Step 3: Cross multiply
    1,719.29x = 2,577.42 × 745.07
  4. Step 4: Simplify right side
    1,719.29x = 1,920,345.43
  5. Step 5: Solve for x
    x = 1,920,345.43/1,719.29
  6. Step 6: Final answer
    x = 1,116.94

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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.