Home / 1,580.68-2,181.30-917.56

Finding the Fourth Proportional to 1,580.68, 2,181.30 and 917.56

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Solution

The fourth proportional to 1,580.68, 2,181.30 and 917.56 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.68 : 2,181.30 = 917.56 : x
  2. Step 2: Convert to fraction form
    1,580.68/2,181.30 = 917.56/x
  3. Step 3: Cross multiply
    1,580.68x = 2,181.30 × 917.56
  4. Step 4: Simplify right side
    1,580.68x = 2,001,473.63
  5. Step 5: Solve for x
    x = 2,001,473.63/1,580.68
  6. Step 6: Final answer
    x = 1,266.21

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Why These Related Problems?

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