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Finding the Fourth Proportional to 2,970.21, 4,098.60 and 1,643.88

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Solution

The fourth proportional to 2,970.21, 4,098.60 and 1,643.88 is: 2,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.21 : 4,098.60 = 1,643.88 : x
  2. Step 2: Convert to fraction form
    2,970.21/4,098.60 = 1,643.88/x
  3. Step 3: Cross multiply
    2,970.21x = 4,098.60 × 1,643.88
  4. Step 4: Simplify right side
    2,970.21x = 6,737,621.94
  5. Step 5: Solve for x
    x = 6,737,621.94/2,970.21
  6. Step 6: Final answer
    x = 2,268.40

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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.