Home / 2,053.94-2,834.10-1,157.54

Finding the Fourth Proportional to 2,053.94, 2,834.10 and 1,157.54

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Solution

The fourth proportional to 2,053.94, 2,834.10 and 1,157.54 is: 1,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.94 : 2,834.10 = 1,157.54 : x
  2. Step 2: Convert to fraction form
    2,053.94/2,834.10 = 1,157.54/x
  3. Step 3: Cross multiply
    2,053.94x = 2,834.10 × 1,157.54
  4. Step 4: Simplify right side
    2,053.94x = 3,280,569.94
  5. Step 5: Solve for x
    x = 3,280,569.94/2,053.94
  6. Step 6: Final answer
    x = 1,597.21

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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.