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Finding the Fourth Proportional to 2,348.94, 3,525.57 and 1,117.20

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Solution

The fourth proportional to 2,348.94, 3,525.57 and 1,117.20 is: 1,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.94 : 3,525.57 = 1,117.20 : x
  2. Step 2: Convert to fraction form
    2,348.94/3,525.57 = 1,117.20/x
  3. Step 3: Cross multiply
    2,348.94x = 3,525.57 × 1,117.20
  4. Step 4: Simplify right side
    2,348.94x = 3,938,766.80
  5. Step 5: Solve for x
    x = 3,938,766.80/2,348.94
  6. Step 6: Final answer
    x = 1,676.83

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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.