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Finding the Fourth Proportional to 2,969.10, 4,453.65 and 1,656.90

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Solution

The fourth proportional to 2,969.10, 4,453.65 and 1,656.90 is: 2,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.10 : 4,453.65 = 1,656.90 : x
  2. Step 2: Convert to fraction form
    2,969.10/4,453.65 = 1,656.90/x
  3. Step 3: Cross multiply
    2,969.10x = 4,453.65 × 1,656.90
  4. Step 4: Simplify right side
    2,969.10x = 7,379,252.69
  5. Step 5: Solve for x
    x = 7,379,252.69/2,969.10
  6. Step 6: Final answer
    x = 2,485.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.