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Finding the Fourth Proportional to 1,745.19, 2,617.72 and 590.94

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Solution

The fourth proportional to 1,745.19, 2,617.72 and 590.94 is: 886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.19 : 2,617.72 = 590.94 : x
  2. Step 2: Convert to fraction form
    1,745.19/2,617.72 = 590.94/x
  3. Step 3: Cross multiply
    1,745.19x = 2,617.72 × 590.94
  4. Step 4: Simplify right side
    1,745.19x = 1,546,913.98
  5. Step 5: Solve for x
    x = 1,546,913.98/1,745.19
  6. Step 6: Final answer
    x = 886.39

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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.