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Finding the Fourth Proportional to 1,835.56, 2,534.06 and 1,414.99

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Solution

The fourth proportional to 1,835.56, 2,534.06 and 1,414.99 is: 1,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.56 : 2,534.06 = 1,414.99 : x
  2. Step 2: Convert to fraction form
    1,835.56/2,534.06 = 1,414.99/x
  3. Step 3: Cross multiply
    1,835.56x = 2,534.06 × 1,414.99
  4. Step 4: Simplify right side
    1,835.56x = 3,585,669.56
  5. Step 5: Solve for x
    x = 3,585,669.56/1,835.56
  6. Step 6: Final answer
    x = 1,953.45

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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.