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Finding the Fourth Proportional to 1,580.96, 2,181.86 and 872.93

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Solution

The fourth proportional to 1,580.96, 2,181.86 and 872.93 is: 1,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.96 : 2,181.86 = 872.93 : x
  2. Step 2: Convert to fraction form
    1,580.96/2,181.86 = 872.93/x
  3. Step 3: Cross multiply
    1,580.96x = 2,181.86 × 872.93
  4. Step 4: Simplify right side
    1,580.96x = 1,904,602.32
  5. Step 5: Solve for x
    x = 1,904,602.32/1,580.96
  6. Step 6: Final answer
    x = 1,204.72

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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.