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Finding the Fourth Proportional to 2,970.19, 4,098.92 and 1,644.02

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Solution

The fourth proportional to 2,970.19, 4,098.92 and 1,644.02 is: 2,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.19 : 4,098.92 = 1,644.02 : x
  2. Step 2: Convert to fraction form
    2,970.19/4,098.92 = 1,644.02/x
  3. Step 3: Cross multiply
    2,970.19x = 4,098.92 × 1,644.02
  4. Step 4: Simplify right side
    2,970.19x = 6,738,706.46
  5. Step 5: Solve for x
    x = 6,738,706.46/2,970.19
  6. Step 6: Final answer
    x = 2,268.78

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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.