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Finding the Fourth Proportional to 1,754.92, 2,414.55 and 1,534.42

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Solution

The fourth proportional to 1,754.92, 2,414.55 and 1,534.42 is: 2,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.92 : 2,414.55 = 1,534.42 : x
  2. Step 2: Convert to fraction form
    1,754.92/2,414.55 = 1,534.42/x
  3. Step 3: Cross multiply
    1,754.92x = 2,414.55 × 1,534.42
  4. Step 4: Simplify right side
    1,754.92x = 3,704,933.81
  5. Step 5: Solve for x
    x = 3,704,933.81/1,754.92
  6. Step 6: Final answer
    x = 2,111.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.