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Finding the Fourth Proportional to 2,370.12, 3,555.60 and 810.29

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Solution

The fourth proportional to 2,370.12, 3,555.60 and 810.29 is: 1,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.12 : 3,555.60 = 810.29 : x
  2. Step 2: Convert to fraction form
    2,370.12/3,555.60 = 810.29/x
  3. Step 3: Cross multiply
    2,370.12x = 3,555.60 × 810.29
  4. Step 4: Simplify right side
    2,370.12x = 2,881,049.35
  5. Step 5: Solve for x
    x = 2,881,049.35/2,370.12
  6. Step 6: Final answer
    x = 1,215.57

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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.