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Finding the Fourth Proportional to 3,193.48, 4,406.91 and 1,777.14

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Solution

The fourth proportional to 3,193.48, 4,406.91 and 1,777.14 is: 2,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.48 : 4,406.91 = 1,777.14 : x
  2. Step 2: Convert to fraction form
    3,193.48/4,406.91 = 1,777.14/x
  3. Step 3: Cross multiply
    3,193.48x = 4,406.91 × 1,777.14
  4. Step 4: Simplify right side
    3,193.48x = 7,831,689.37
  5. Step 5: Solve for x
    x = 7,831,689.37/3,193.48
  6. Step 6: Final answer
    x = 2,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.