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Finding the Fourth Proportional to 2,372.90, 3,559.34 and 1,405.15

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Solution

The fourth proportional to 2,372.90, 3,559.34 and 1,405.15 is: 2,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.90 : 3,559.34 = 1,405.15 : x
  2. Step 2: Convert to fraction form
    2,372.90/3,559.34 = 1,405.15/x
  3. Step 3: Cross multiply
    2,372.90x = 3,559.34 × 1,405.15
  4. Step 4: Simplify right side
    2,372.90x = 5,001,401.22
  5. Step 5: Solve for x
    x = 5,001,401.22/2,372.90
  6. Step 6: Final answer
    x = 2,107.72

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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.