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Finding the Fourth Proportional to 1,577, 2,176.26 and 878.42

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Solution

The fourth proportional to 1,577, 2,176.26 and 878.42 is: 1,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577 : 2,176.26 = 878.42 : x
  2. Step 2: Convert to fraction form
    1,577/2,176.26 = 878.42/x
  3. Step 3: Cross multiply
    1,577x = 2,176.26 × 878.42
  4. Step 4: Simplify right side
    1,577x = 1,911,670.31
  5. Step 5: Solve for x
    x = 1,911,670.31/1,577
  6. Step 6: Final answer
    x = 1,212.22

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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.