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Finding the Fourth Proportional to 1,577.43, 2,176.80 and 914.22

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Solution

The fourth proportional to 1,577.43, 2,176.80 and 914.22 is: 1,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.43 : 2,176.80 = 914.22 : x
  2. Step 2: Convert to fraction form
    1,577.43/2,176.80 = 914.22/x
  3. Step 3: Cross multiply
    1,577.43x = 2,176.80 × 914.22
  4. Step 4: Simplify right side
    1,577.43x = 1,990,074.10
  5. Step 5: Solve for x
    x = 1,990,074.10/1,577.43
  6. Step 6: Final answer
    x = 1,261.59

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