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Finding the Fourth Proportional to 1,746.68, 2,620.46 and 514.13

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Solution

The fourth proportional to 1,746.68, 2,620.46 and 514.13 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.68 : 2,620.46 = 514.13 : x
  2. Step 2: Convert to fraction form
    1,746.68/2,620.46 = 514.13/x
  3. Step 3: Cross multiply
    1,746.68x = 2,620.46 × 514.13
  4. Step 4: Simplify right side
    1,746.68x = 1,347,241.43
  5. Step 5: Solve for x
    x = 1,347,241.43/1,746.68
  6. Step 6: Final answer
    x = 771.32

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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.