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Finding the Fourth Proportional to 2,969.76, 4,454.64 and 1,816.32

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Solution

The fourth proportional to 2,969.76, 4,454.64 and 1,816.32 is: 2,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.76 : 4,454.64 = 1,816.32 : x
  2. Step 2: Convert to fraction form
    2,969.76/4,454.64 = 1,816.32/x
  3. Step 3: Cross multiply
    2,969.76x = 4,454.64 × 1,816.32
  4. Step 4: Simplify right side
    2,969.76x = 8,091,051.72
  5. Step 5: Solve for x
    x = 8,091,051.72/2,969.76
  6. Step 6: Final answer
    x = 2,724.48

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Why These Related Problems?

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