Home / 2,034.85-3,052.35-802.51

Finding the Fourth Proportional to 2,034.85, 3,052.35 and 802.51

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Solution

The fourth proportional to 2,034.85, 3,052.35 and 802.51 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.85 : 3,052.35 = 802.51 : x
  2. Step 2: Convert to fraction form
    2,034.85/3,052.35 = 802.51/x
  3. Step 3: Cross multiply
    2,034.85x = 3,052.35 × 802.51
  4. Step 4: Simplify right side
    2,034.85x = 2,449,541.40
  5. Step 5: Solve for x
    x = 2,449,541.40/2,034.85
  6. Step 6: Final answer
    x = 1,203.79

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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.