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Finding the Fourth Proportional to 2,534.88, 3,802.43 and 803.51

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Solution

The fourth proportional to 2,534.88, 3,802.43 and 803.51 is: 1,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.88 : 3,802.43 = 803.51 : x
  2. Step 2: Convert to fraction form
    2,534.88/3,802.43 = 803.51/x
  3. Step 3: Cross multiply
    2,534.88x = 3,802.43 × 803.51
  4. Step 4: Simplify right side
    2,534.88x = 3,055,290.53
  5. Step 5: Solve for x
    x = 3,055,290.53/2,534.88
  6. Step 6: Final answer
    x = 1,205.30

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1.5x scale

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.