Home / 1,580.46-2,180.76-917.20

Finding the Fourth Proportional to 1,580.46, 2,180.76 and 917.20

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Solution

The fourth proportional to 1,580.46, 2,180.76 and 917.20 is: 1,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.46 : 2,180.76 = 917.20 : x
  2. Step 2: Convert to fraction form
    1,580.46/2,180.76 = 917.20/x
  3. Step 3: Cross multiply
    1,580.46x = 2,180.76 × 917.20
  4. Step 4: Simplify right side
    1,580.46x = 2,000,193.07
  5. Step 5: Solve for x
    x = 2,000,193.07/1,580.46
  6. Step 6: Final answer
    x = 1,265.58

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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.