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Finding the Fourth Proportional to 2,560.70, 3,534.85 and 1,721.88

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Solution

The fourth proportional to 2,560.70, 3,534.85 and 1,721.88 is: 2,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.70 : 3,534.85 = 1,721.88 : x
  2. Step 2: Convert to fraction form
    2,560.70/3,534.85 = 1,721.88/x
  3. Step 3: Cross multiply
    2,560.70x = 3,534.85 × 1,721.88
  4. Step 4: Simplify right side
    2,560.70x = 6,086,596.47
  5. Step 5: Solve for x
    x = 6,086,596.47/2,560.70
  6. Step 6: Final answer
    x = 2,376.93

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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.