Home / 1,580.09-2,180.51-916.93

Finding the Fourth Proportional to 1,580.09, 2,180.51 and 916.93

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Solution

The fourth proportional to 1,580.09, 2,180.51 and 916.93 is: 1,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.09 : 2,180.51 = 916.93 : x
  2. Step 2: Convert to fraction form
    1,580.09/2,180.51 = 916.93/x
  3. Step 3: Cross multiply
    1,580.09x = 2,180.51 × 916.93
  4. Step 4: Simplify right side
    1,580.09x = 1,999,375.03
  5. Step 5: Solve for x
    x = 1,999,375.03/1,580.09
  6. Step 6: Final answer
    x = 1,265.36

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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.