Home / 1,580.51-2,181.26-917.33

Finding the Fourth Proportional to 1,580.51, 2,181.26 and 917.33

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Solution

The fourth proportional to 1,580.51, 2,181.26 and 917.33 is: 1,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.51 : 2,181.26 = 917.33 : x
  2. Step 2: Convert to fraction form
    1,580.51/2,181.26 = 917.33/x
  3. Step 3: Cross multiply
    1,580.51x = 2,181.26 × 917.33
  4. Step 4: Simplify right side
    1,580.51x = 2,000,926.62
  5. Step 5: Solve for x
    x = 2,000,926.62/1,580.51
  6. Step 6: Final answer
    x = 1,266.00

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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.