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Finding the Fourth Proportional to 3,113.34, 4,296.42 and 1,854.44

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Solution

The fourth proportional to 3,113.34, 4,296.42 and 1,854.44 is: 2,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.34 : 4,296.42 = 1,854.44 : x
  2. Step 2: Convert to fraction form
    3,113.34/4,296.42 = 1,854.44/x
  3. Step 3: Cross multiply
    3,113.34x = 4,296.42 × 1,854.44
  4. Step 4: Simplify right side
    3,113.34x = 7,967,453.10
  5. Step 5: Solve for x
    x = 7,967,453.10/3,113.34
  6. Step 6: Final answer
    x = 2,559.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.