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Finding the Fourth Proportional to 1,580.83, 2,181.14 and 917.28

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Solution

The fourth proportional to 1,580.83, 2,181.14 and 917.28 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.83 : 2,181.14 = 917.28 : x
  2. Step 2: Convert to fraction form
    1,580.83/2,181.14 = 917.28/x
  3. Step 3: Cross multiply
    1,580.83x = 2,181.14 × 917.28
  4. Step 4: Simplify right side
    1,580.83x = 2,000,714.95
  5. Step 5: Solve for x
    x = 2,000,714.95/1,580.83
  6. Step 6: Final answer
    x = 1,265.61

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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.