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Finding the Fourth Proportional to 2,970.32, 4,098.96 and 1,644.02

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Solution

The fourth proportional to 2,970.32, 4,098.96 and 1,644.02 is: 2,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.32 : 4,098.96 = 1,644.02 : x
  2. Step 2: Convert to fraction form
    2,970.32/4,098.96 = 1,644.02/x
  3. Step 3: Cross multiply
    2,970.32x = 4,098.96 × 1,644.02
  4. Step 4: Simplify right side
    2,970.32x = 6,738,772.22
  5. Step 5: Solve for x
    x = 6,738,772.22/2,970.32
  6. Step 6: Final answer
    x = 2,268.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.