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Finding the Fourth Proportional to 2,557, 3,833.21 and 913.31

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Solution

The fourth proportional to 2,557, 3,833.21 and 913.31 is: 1,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557 : 3,833.21 = 913.31 : x
  2. Step 2: Convert to fraction form
    2,557/3,833.21 = 913.31/x
  3. Step 3: Cross multiply
    2,557x = 3,833.21 × 913.31
  4. Step 4: Simplify right side
    2,557x = 3,500,909.03
  5. Step 5: Solve for x
    x = 3,500,909.03/2,557
  6. Step 6: Final answer
    x = 1,369.15

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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.