Home / 2,361.49-3,541.75-802.33

Finding the Fourth Proportional to 2,361.49, 3,541.75 and 802.33

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Solution

The fourth proportional to 2,361.49, 3,541.75 and 802.33 is: 1,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.49 : 3,541.75 = 802.33 : x
  2. Step 2: Convert to fraction form
    2,361.49/3,541.75 = 802.33/x
  3. Step 3: Cross multiply
    2,361.49x = 3,541.75 × 802.33
  4. Step 4: Simplify right side
    2,361.49x = 2,841,641.42
  5. Step 5: Solve for x
    x = 2,841,641.42/2,361.49
  6. Step 6: Final answer
    x = 1,203.33

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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.