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Finding the Fourth Proportional to 2,534.44, 3,802.35 and 892.14

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Solution

The fourth proportional to 2,534.44, 3,802.35 and 892.14 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.44 : 3,802.35 = 892.14 : x
  2. Step 2: Convert to fraction form
    2,534.44/3,802.35 = 892.14/x
  3. Step 3: Cross multiply
    2,534.44x = 3,802.35 × 892.14
  4. Step 4: Simplify right side
    2,534.44x = 3,392,228.53
  5. Step 5: Solve for x
    x = 3,392,228.53/2,534.44
  6. Step 6: Final answer
    x = 1,338.45

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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.