Home / 1,696.96-2,342.40-1,202.08

Finding the Fourth Proportional to 1,696.96, 2,342.40 and 1,202.08

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Solution

The fourth proportional to 1,696.96, 2,342.40 and 1,202.08 is: 1,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.96 : 2,342.40 = 1,202.08 : x
  2. Step 2: Convert to fraction form
    1,696.96/2,342.40 = 1,202.08/x
  3. Step 3: Cross multiply
    1,696.96x = 2,342.40 × 1,202.08
  4. Step 4: Simplify right side
    1,696.96x = 2,815,752.19
  5. Step 5: Solve for x
    x = 2,815,752.19/1,696.96
  6. Step 6: Final answer
    x = 1,659.29

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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.