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Finding the Fourth Proportional to 1,388.34, 2,081.81 and 1,023.39

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Solution

The fourth proportional to 1,388.34, 2,081.81 and 1,023.39 is: 1,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.34 : 2,081.81 = 1,023.39 : x
  2. Step 2: Convert to fraction form
    1,388.34/2,081.81 = 1,023.39/x
  3. Step 3: Cross multiply
    1,388.34x = 2,081.81 × 1,023.39
  4. Step 4: Simplify right side
    1,388.34x = 2,130,506.09
  5. Step 5: Solve for x
    x = 2,130,506.09/1,388.34
  6. Step 6: Final answer
    x = 1,534.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.