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Finding the Fourth Proportional to 1,622.75, 2,432.85 and 745.83

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Solution

The fourth proportional to 1,622.75, 2,432.85 and 745.83 is: 1,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.75 : 2,432.85 = 745.83 : x
  2. Step 2: Convert to fraction form
    1,622.75/2,432.85 = 745.83/x
  3. Step 3: Cross multiply
    1,622.75x = 2,432.85 × 745.83
  4. Step 4: Simplify right side
    1,622.75x = 1,814,492.52
  5. Step 5: Solve for x
    x = 1,814,492.52/1,622.75
  6. Step 6: Final answer
    x = 1,118.16

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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.