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Finding the Fourth Proportional to 2,560.76, 3,532.48 and 1,720.04

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Solution

The fourth proportional to 2,560.76, 3,532.48 and 1,720.04 is: 2,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.76 : 3,532.48 = 1,720.04 : x
  2. Step 2: Convert to fraction form
    2,560.76/3,532.48 = 1,720.04/x
  3. Step 3: Cross multiply
    2,560.76x = 3,532.48 × 1,720.04
  4. Step 4: Simplify right side
    2,560.76x = 6,076,006.90
  5. Step 5: Solve for x
    x = 6,076,006.90/2,560.76
  6. Step 6: Final answer
    x = 2,372.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.