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Finding the Fourth Proportional to 2,348.40, 3,523.24 and 788.66

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Solution

The fourth proportional to 2,348.40, 3,523.24 and 788.66 is: 1,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.40 : 3,523.24 = 788.66 : x
  2. Step 2: Convert to fraction form
    2,348.40/3,523.24 = 788.66/x
  3. Step 3: Cross multiply
    2,348.40x = 3,523.24 × 788.66
  4. Step 4: Simplify right side
    2,348.40x = 2,778,638.46
  5. Step 5: Solve for x
    x = 2,778,638.46/2,348.40
  6. Step 6: Final answer
    x = 1,183.20

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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.