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Finding the Fourth Proportional to 2,416.61, 3,625.49 and 1,721.54

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Solution

The fourth proportional to 2,416.61, 3,625.49 and 1,721.54 is: 2,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.61 : 3,625.49 = 1,721.54 : x
  2. Step 2: Convert to fraction form
    2,416.61/3,625.49 = 1,721.54/x
  3. Step 3: Cross multiply
    2,416.61x = 3,625.49 × 1,721.54
  4. Step 4: Simplify right side
    2,416.61x = 6,241,412.23
  5. Step 5: Solve for x
    x = 6,241,412.23/2,416.61
  6. Step 6: Final answer
    x = 2,582.72

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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.