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Finding the Fourth Proportional to 3,133, 4,701.62 and 1,185.31

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Solution

The fourth proportional to 3,133, 4,701.62 and 1,185.31 is: 1,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,701.62 = 1,185.31 : x
  2. Step 2: Convert to fraction form
    3,133/4,701.62 = 1,185.31/x
  3. Step 3: Cross multiply
    3,133x = 4,701.62 × 1,185.31
  4. Step 4: Simplify right side
    3,133x = 5,572,877.20
  5. Step 5: Solve for x
    x = 5,572,877.20/3,133
  6. Step 6: Final answer
    x = 1,778.77

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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.