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Finding the Fourth Proportional to 2,970.34, 4,099.10 and 1,644.08

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Solution

The fourth proportional to 2,970.34, 4,099.10 and 1,644.08 is: 2,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.34 : 4,099.10 = 1,644.08 : x
  2. Step 2: Convert to fraction form
    2,970.34/4,099.10 = 1,644.08/x
  3. Step 3: Cross multiply
    2,970.34x = 4,099.10 × 1,644.08
  4. Step 4: Simplify right side
    2,970.34x = 6,739,248.33
  5. Step 5: Solve for x
    x = 6,739,248.33/2,970.34
  6. Step 6: Final answer
    x = 2,268.85

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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.