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Finding the Fourth Proportional to 1,814.01, 2,503.34 and 1,028.06

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Solution

The fourth proportional to 1,814.01, 2,503.34 and 1,028.06 is: 1,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.01 : 2,503.34 = 1,028.06 : x
  2. Step 2: Convert to fraction form
    1,814.01/2,503.34 = 1,028.06/x
  3. Step 3: Cross multiply
    1,814.01x = 2,503.34 × 1,028.06
  4. Step 4: Simplify right side
    1,814.01x = 2,573,573.77
  5. Step 5: Solve for x
    x = 2,573,573.77/1,814.01
  6. Step 6: Final answer
    x = 1,418.72

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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.