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Finding the Fourth Proportional to 2,348.38, 3,522.12 and 788.41

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Solution

The fourth proportional to 2,348.38, 3,522.12 and 788.41 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.38 : 3,522.12 = 788.41 : x
  2. Step 2: Convert to fraction form
    2,348.38/3,522.12 = 788.41/x
  3. Step 3: Cross multiply
    2,348.38x = 3,522.12 × 788.41
  4. Step 4: Simplify right side
    2,348.38x = 2,776,874.63
  5. Step 5: Solve for x
    x = 2,776,874.63/2,348.38
  6. Step 6: Final answer
    x = 1,182.46

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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.