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Finding the Fourth Proportional to 2,970.09, 4,098.68 and 1,643.78

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Solution

The fourth proportional to 2,970.09, 4,098.68 and 1,643.78 is: 2,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.09 : 4,098.68 = 1,643.78 : x
  2. Step 2: Convert to fraction form
    2,970.09/4,098.68 = 1,643.78/x
  3. Step 3: Cross multiply
    2,970.09x = 4,098.68 × 1,643.78
  4. Step 4: Simplify right side
    2,970.09x = 6,737,299.50
  5. Step 5: Solve for x
    x = 6,737,299.50/2,970.09
  6. Step 6: Final answer
    x = 2,268.38

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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.