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Finding the Fourth Proportional to 2,424.94, 3,348.03 and 1,638.70

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Solution

The fourth proportional to 2,424.94, 3,348.03 and 1,638.70 is: 2,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.94 : 3,348.03 = 1,638.70 : x
  2. Step 2: Convert to fraction form
    2,424.94/3,348.03 = 1,638.70/x
  3. Step 3: Cross multiply
    2,424.94x = 3,348.03 × 1,638.70
  4. Step 4: Simplify right side
    2,424.94x = 5,486,416.76
  5. Step 5: Solve for x
    x = 5,486,416.76/2,424.94
  6. Step 6: Final answer
    x = 2,262.50

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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.