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Finding the Fourth Proportional to 2,034, 3,052.02 and 802.29

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Solution

The fourth proportional to 2,034, 3,052.02 and 802.29 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,052.02 = 802.29 : x
  2. Step 2: Convert to fraction form
    2,034/3,052.02 = 802.29/x
  3. Step 3: Cross multiply
    2,034x = 3,052.02 × 802.29
  4. Step 4: Simplify right side
    2,034x = 2,448,605.13
  5. Step 5: Solve for x
    x = 2,448,605.13/2,034
  6. Step 6: Final answer
    x = 1,203.84

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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.