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Finding the Fourth Proportional to 1,813.14, 2,502.35 and 1,027.03

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Solution

The fourth proportional to 1,813.14, 2,502.35 and 1,027.03 is: 1,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.14 : 2,502.35 = 1,027.03 : x
  2. Step 2: Convert to fraction form
    1,813.14/2,502.35 = 1,027.03/x
  3. Step 3: Cross multiply
    1,813.14x = 2,502.35 × 1,027.03
  4. Step 4: Simplify right side
    1,813.14x = 2,569,988.52
  5. Step 5: Solve for x
    x = 2,569,988.52/1,813.14
  6. Step 6: Final answer
    x = 1,417.42

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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.