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Finding the Fourth Proportional to 2,328.97, 3,494.07 and 1,354.24

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Solution

The fourth proportional to 2,328.97, 3,494.07 and 1,354.24 is: 2,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.97 : 3,494.07 = 1,354.24 : x
  2. Step 2: Convert to fraction form
    2,328.97/3,494.07 = 1,354.24/x
  3. Step 3: Cross multiply
    2,328.97x = 3,494.07 × 1,354.24
  4. Step 4: Simplify right side
    2,328.97x = 4,731,809.36
  5. Step 5: Solve for x
    x = 4,731,809.36/2,328.97
  6. Step 6: Final answer
    x = 2,031.72

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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.