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Finding the Fourth Proportional to 2,534.81, 3,802.80 and 1,074.02

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Solution

The fourth proportional to 2,534.81, 3,802.80 and 1,074.02 is: 1,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.81 : 3,802.80 = 1,074.02 : x
  2. Step 2: Convert to fraction form
    2,534.81/3,802.80 = 1,074.02/x
  3. Step 3: Cross multiply
    2,534.81x = 3,802.80 × 1,074.02
  4. Step 4: Simplify right side
    2,534.81x = 4,084,283.26
  5. Step 5: Solve for x
    x = 4,084,283.26/2,534.81
  6. Step 6: Final answer
    x = 1,611.28

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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.