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Finding the Fourth Proportional to 2,475.55, 3,713.32 and 832.10

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Solution

The fourth proportional to 2,475.55, 3,713.32 and 832.10 is: 1,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.55 : 3,713.32 = 832.10 : x
  2. Step 2: Convert to fraction form
    2,475.55/3,713.32 = 832.10/x
  3. Step 3: Cross multiply
    2,475.55x = 3,713.32 × 832.10
  4. Step 4: Simplify right side
    2,475.55x = 3,089,836.05
  5. Step 5: Solve for x
    x = 3,089,836.05/2,475.55
  6. Step 6: Final answer
    x = 1,248.14

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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.