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Finding the Fourth Proportional to 2,463.51, 3,695.90 and 732.09

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Solution

The fourth proportional to 2,463.51, 3,695.90 and 732.09 is: 1,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.51 : 3,695.90 = 732.09 : x
  2. Step 2: Convert to fraction form
    2,463.51/3,695.90 = 732.09/x
  3. Step 3: Cross multiply
    2,463.51x = 3,695.90 × 732.09
  4. Step 4: Simplify right side
    2,463.51x = 2,705,731.43
  5. Step 5: Solve for x
    x = 2,705,731.43/2,463.51
  6. Step 6: Final answer
    x = 1,098.32

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1.5x scale

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.