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Finding the Fourth Proportional to 2,510.70, 3,462.44 and 1,625.50

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Solution

The fourth proportional to 2,510.70, 3,462.44 and 1,625.50 is: 2,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.70 : 3,462.44 = 1,625.50 : x
  2. Step 2: Convert to fraction form
    2,510.70/3,462.44 = 1,625.50/x
  3. Step 3: Cross multiply
    2,510.70x = 3,462.44 × 1,625.50
  4. Step 4: Simplify right side
    2,510.70x = 5,628,196.22
  5. Step 5: Solve for x
    x = 5,628,196.22/2,510.70
  6. Step 6: Final answer
    x = 2,241.68

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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.