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Finding the Fourth Proportional to 1,580.98, 2,181.72 and 872.89

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Solution

The fourth proportional to 1,580.98, 2,181.72 and 872.89 is: 1,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.98 : 2,181.72 = 872.89 : x
  2. Step 2: Convert to fraction form
    1,580.98/2,181.72 = 872.89/x
  3. Step 3: Cross multiply
    1,580.98x = 2,181.72 × 872.89
  4. Step 4: Simplify right side
    1,580.98x = 1,904,401.57
  5. Step 5: Solve for x
    x = 1,904,401.57/1,580.98
  6. Step 6: Final answer
    x = 1,204.57

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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.