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Finding the Fourth Proportional to 1,746.81, 2,620.17 and 514.24

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Solution

The fourth proportional to 1,746.81, 2,620.17 and 514.24 is: 771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.81 : 2,620.17 = 514.24 : x
  2. Step 2: Convert to fraction form
    1,746.81/2,620.17 = 514.24/x
  3. Step 3: Cross multiply
    1,746.81x = 2,620.17 × 514.24
  4. Step 4: Simplify right side
    1,746.81x = 1,347,389.67
  5. Step 5: Solve for x
    x = 1,347,389.67/1,746.81
  6. Step 6: Final answer
    x = 771.34

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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.