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Finding the Fourth Proportional to 1,741, 2,623.72 and 1,567.86

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Solution

The fourth proportional to 1,741, 2,623.72 and 1,567.86 is: 2,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741 : 2,623.72 = 1,567.86 : x
  2. Step 2: Convert to fraction form
    1,741/2,623.72 = 1,567.86/x
  3. Step 3: Cross multiply
    1,741x = 2,623.72 × 1,567.86
  4. Step 4: Simplify right side
    1,741x = 4,113,625.64
  5. Step 5: Solve for x
    x = 4,113,625.64/1,741
  6. Step 6: Final answer
    x = 2,362.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.