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Finding the Fourth Proportional to 1,746.93, 2,620.85 and 514.29

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Solution

The fourth proportional to 1,746.93, 2,620.85 and 514.29 is: 771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.93 : 2,620.85 = 514.29 : x
  2. Step 2: Convert to fraction form
    1,746.93/2,620.85 = 514.29/x
  3. Step 3: Cross multiply
    1,746.93x = 2,620.85 × 514.29
  4. Step 4: Simplify right side
    1,746.93x = 1,347,874.38
  5. Step 5: Solve for x
    x = 1,347,874.38/1,746.93
  6. Step 6: Final answer
    x = 771.57

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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.