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Finding the Fourth Proportional to 2,957, 4,435.38 and 1,723.52

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Solution

The fourth proportional to 2,957, 4,435.38 and 1,723.52 is: 2,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957 : 4,435.38 = 1,723.52 : x
  2. Step 2: Convert to fraction form
    2,957/4,435.38 = 1,723.52/x
  3. Step 3: Cross multiply
    2,957x = 4,435.38 × 1,723.52
  4. Step 4: Simplify right side
    2,957x = 7,644,466.14
  5. Step 5: Solve for x
    x = 7,644,466.14/2,957
  6. Step 6: Final answer
    x = 2,585.21

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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.