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Finding the Fourth Proportional to 1,760.64, 2,641.65 and 1,617.12

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Solution

The fourth proportional to 1,760.64, 2,641.65 and 1,617.12 is: 2,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.64 : 2,641.65 = 1,617.12 : x
  2. Step 2: Convert to fraction form
    1,760.64/2,641.65 = 1,617.12/x
  3. Step 3: Cross multiply
    1,760.64x = 2,641.65 × 1,617.12
  4. Step 4: Simplify right side
    1,760.64x = 4,271,865.05
  5. Step 5: Solve for x
    x = 4,271,865.05/1,760.64
  6. Step 6: Final answer
    x = 2,426.31

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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.