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Finding the Fourth Proportional to 2,475.81, 3,713.67 and 832.32

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Solution

The fourth proportional to 2,475.81, 3,713.67 and 832.32 is: 1,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.81 : 3,713.67 = 832.32 : x
  2. Step 2: Convert to fraction form
    2,475.81/3,713.67 = 832.32/x
  3. Step 3: Cross multiply
    2,475.81x = 3,713.67 × 832.32
  4. Step 4: Simplify right side
    2,475.81x = 3,090,961.81
  5. Step 5: Solve for x
    x = 3,090,961.81/2,475.81
  6. Step 6: Final answer
    x = 1,248.46

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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.