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Finding the Fourth Proportional to 2,508.72, 3,460.98 and 1,721.40

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Solution

The fourth proportional to 2,508.72, 3,460.98 and 1,721.40 is: 2,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.72 : 3,460.98 = 1,721.40 : x
  2. Step 2: Convert to fraction form
    2,508.72/3,460.98 = 1,721.40/x
  3. Step 3: Cross multiply
    2,508.72x = 3,460.98 × 1,721.40
  4. Step 4: Simplify right side
    2,508.72x = 5,957,730.97
  5. Step 5: Solve for x
    x = 5,957,730.97/2,508.72
  6. Step 6: Final answer
    x = 2,374.81

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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.