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Finding the Fourth Proportional to 1,577, 2,172.80 and 1,176.96

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Solution

The fourth proportional to 1,577, 2,172.80 and 1,176.96 is: 1,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577 : 2,172.80 = 1,176.96 : x
  2. Step 2: Convert to fraction form
    1,577/2,172.80 = 1,176.96/x
  3. Step 3: Cross multiply
    1,577x = 2,172.80 × 1,176.96
  4. Step 4: Simplify right side
    1,577x = 2,557,298.69
  5. Step 5: Solve for x
    x = 2,557,298.69/1,577
  6. Step 6: Final answer
    x = 1,621.62

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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.