Home / 1,824.73-2,516.38-1,160.40

Finding the Fourth Proportional to 1,824.73, 2,516.38 and 1,160.40

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Solution

The fourth proportional to 1,824.73, 2,516.38 and 1,160.40 is: 1,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.73 : 2,516.38 = 1,160.40 : x
  2. Step 2: Convert to fraction form
    1,824.73/2,516.38 = 1,160.40/x
  3. Step 3: Cross multiply
    1,824.73x = 2,516.38 × 1,160.40
  4. Step 4: Simplify right side
    1,824.73x = 2,920,007.35
  5. Step 5: Solve for x
    x = 2,920,007.35/1,824.73
  6. Step 6: Final answer
    x = 1,600.24

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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.