Home / 1,696.74-2,542.23-1,046.16

Finding the Fourth Proportional to 1,696.74, 2,542.23 and 1,046.16

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Solution

The fourth proportional to 1,696.74, 2,542.23 and 1,046.16 is: 1,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.74 : 2,542.23 = 1,046.16 : x
  2. Step 2: Convert to fraction form
    1,696.74/2,542.23 = 1,046.16/x
  3. Step 3: Cross multiply
    1,696.74x = 2,542.23 × 1,046.16
  4. Step 4: Simplify right side
    1,696.74x = 2,659,579.34
  5. Step 5: Solve for x
    x = 2,659,579.34/1,696.74
  6. Step 6: Final answer
    x = 1,567.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.