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Finding the Fourth Proportional to 2,173.60, 3,260.13 and 712.63

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Solution

The fourth proportional to 2,173.60, 3,260.13 and 712.63 is: 1,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.60 : 3,260.13 = 712.63 : x
  2. Step 2: Convert to fraction form
    2,173.60/3,260.13 = 712.63/x
  3. Step 3: Cross multiply
    2,173.60x = 3,260.13 × 712.63
  4. Step 4: Simplify right side
    2,173.60x = 2,323,266.44
  5. Step 5: Solve for x
    x = 2,323,266.44/2,173.60
  6. Step 6: Final answer
    x = 1,068.86

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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.