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Finding the Fourth Proportional to 2,970.54, 4,099.35 and 1,644.24

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Solution

The fourth proportional to 2,970.54, 4,099.35 and 1,644.24 is: 2,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.54 : 4,099.35 = 1,644.24 : x
  2. Step 2: Convert to fraction form
    2,970.54/4,099.35 = 1,644.24/x
  3. Step 3: Cross multiply
    2,970.54x = 4,099.35 × 1,644.24
  4. Step 4: Simplify right side
    2,970.54x = 6,740,315.24
  5. Step 5: Solve for x
    x = 6,740,315.24/2,970.54
  6. Step 6: Final answer
    x = 2,269.05

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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.