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Finding the Fourth Proportional to 2,722.60, 4,076.34 and 1,746.28

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Solution

The fourth proportional to 2,722.60, 4,076.34 and 1,746.28 is: 2,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.60 : 4,076.34 = 1,746.28 : x
  2. Step 2: Convert to fraction form
    2,722.60/4,076.34 = 1,746.28/x
  3. Step 3: Cross multiply
    2,722.60x = 4,076.34 × 1,746.28
  4. Step 4: Simplify right side
    2,722.60x = 7,118,431.02
  5. Step 5: Solve for x
    x = 7,118,431.02/2,722.60
  6. Step 6: Final answer
    x = 2,614.57

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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.